







Lot size / acreage (more than three sides) 
20070511 

From Martha: What is the lot size of the following dimensions equivalent to acre.
141.85 x 52.55 x 217.63 x 38.89 x 68.08 Answered by Penny Nom and Stephen La Rocque. 





Finding the area of a regular polygon 
20070504 

From Dana: We are trying to figure the square footage of a tetradecagon....sort of a round house with 14 sides that are 8 ft' in length. It has a height of 9 ft. How do we figure the square footage of this? Answered by Stephen La Rocque. 





Forming the largest cylinder 
20200520 

From Amanda: How do I find the maximum surface area and volume of a cylinder made up of ONE 8.5x11 piece of paper? Answered by Penny Nom. 





A hexagon constructed from two triangles 
20200413 

From sunny: Triangles AEC and FDB are equilateral triangles and EA= DF= 12cm. The polygon
at the center of the star is a regular hexagon. What is the area of the hexagon? Answered by Penny Nom. 





A circle in a square 
20200402 

From Sabra: Hello, I have twins in the 7th grade that are learning how to find
circumference of circles. I am struggling with figuring out how to
help my children to find the answer to this question:
Tye has a square piece of yellow felt that has an area of 81
square inches. She wants to cut the largest circle possible from the
material to create a sun for her art project. What is the area of the felt
circle? Use 3.14 for pi. Round to the nearest hundredth if necessary.
I wasn't sure if I am to find the area of the circle through finding the
area of the square or what steps we needed to follow to find the
answer. Once I can see how one is worked out stepbystep, I
usually can help them along with questions that are similar. Answered by Penny Nom. 





The area of a triangle from two angles and a side 
20200210 

From Chinmoy: How to measure the area of a triangle with two angles and length of the included side known? Answered by Harley Weston. 





The area and volume of a wedge 
20191130 

From Jasmine: what is the volume and surface area of a wedge with definition Answered by Penny Nom. 





The length and width of 1 1/3 acres 
20191122 

From Ben: I’m trading to figure out what the length and width of 1 1/3 of an acre
would be in a rectangle or in a perfect square Answered by Penny Nom. 





How do you find the length and the width if all you had was area? 
20191016 

From Ali: So, How do you find the length and the width if all you had was area? Answered by Penny Nom. 





Why does the circle have a larger area? 
20190916 

From A student: given a circle and square of same perimeter, why does the circle have a larger area
I’m looking for an intuitive explanation rather than a computational one. Thanks Answered by Harley Weston. 





The area of a shape 
20190814 

From Lymp: Hi, for math we are calculating the area of shapes and my teacher wanted me to research how to calculate the area of shapes so i was wondering if you could tell me how t calculate the area of any shapes. Please tell me how to calculate a cross, parallelogram and a polygon Answered by Penny Nom. 





The radius of a circle of given area 
20190814 

From shelby: What's the radius of a circle that has an area of 803.84cm2? I also need examples of how you got the answer. Answered by Penny Nom. 





The area of a patio 
20190623 

From Miguel: Stephanie has 60 feet of metal fencing material to only fence 3
sides of a rectangular patio. A tall metal wall serves as the fourth side
of the rectangle. write a function for the area the garden (A) in terms
of width in feet (x) What measures of the width would give an area of
at least 150 feet? Answered by Penny Nom. 





The area of a triangle in acres 
20190623 

From Karen: if I have a triangle that measures 78 ft x 54 ft x 50 ft, how do I figure out what part of an acre that is?? Answered by Harley Weston. 





The perimeter of 200 acres 
20190614 

From AARON: How many feet is the perimeter of 200 acres? Answered by Penny Nom. 





Subdividing land 
20190509 

From Reuben: This is the measurements of my plot, AB 46.7M, BC 193.1, CD 198.5 & DA 208.25 (Clockwise naming of sides) angle A at 90 degrees. My questions is how do i subdivide this plot from the bottom having lines running parallel to CD, eg two 2acre plots. the the remaining part becomes my compound (Uper part at line AB) Answered by Harley Weston. 





Volume and Surface area of a sphere 
20190503 

From Caitlin: Why does the surface area formula of a sphere have a squared radius while the volume of a sphere has a cubed radius? Answered by Penny Nom. 





The area of a triangle 
20190425 

From troy: The base and the height of a right triangle are represented by the expressions below.
The area of the triangle is 28 square units. Find the lengths of the base and the height
of the triangle
base= x+4
height=x6 Answered by Penny Nom. 





The area of a lot 
20190406 

From Robert: Can you help me determine the rough square footage of this lot please(attached)? I think it is nearly 7000 square feet. I am sure I need the degrees of of the corners but I don’t have that. An estimate would be all I need.
Thank you for you help.
Rob Answered by Harley Weston. 





The area of a triangle 
20190319 

From Dylan: The area of a triangle is 108in squared. A base and corresponding height
are in the ratio 3:2. Find the length of the base and the corresponding
height Answered by Penny Nom. 





A triangle of maximum area 
20190307 

From Tom: Triangle ABC is such that AB=3cm and AC=4cm.
What is the maximum possible area of triangle ABC? Answered by Penny Nom. 





A quadrilateral inside a square 
20190102 

From Swetha: In 2*2 square ABCD, E is the mid point of the side AD. F is a
point in BE.CF is perpendicular to BE. Find the area of the quadrilateral CDEF Answered by Penny Nom. 





The surface area of a dome 
20181218 

From Chithrabhanu: If a dom dia is 4.552 and the height is 1.21 what is the surface area? Answered by Penny Nom. 





Why 1/2 in the area of a circular sector? 
20181026 

From Ariel: In the equation for area of a sector=1/2r^2theta why is it 1/2? Please explain conceptually not algebraically. Answered by Penny Nom. 





The area of a trapezoid 
20180924 

From An other: AB272 feet: AC 690 feet; CD330 Feet; DA669Feet Calculate the area in feet and Acres. Answered by Penny Nom. 





Paving stones area 
20180808 

From Declan: I am thinking of buying some reclaimed block paving stones. There are 750 pieces in total.
60% are L 140mm x W 140mm x H50mm
40% are L170mm x W140mm x H50mm
How much area will this cover? Answered by Penny Nom. 





The surface area of a levee 
20180704 

From John: Figuring out the surface area in sq. Ft. Of a levee
Height:10’
Top of levee width: 6’
Width of base (from toe to toe): 40’
Length of levee: 1,250’ Answered by Penny Nom. 





The base for a circular pool 
20180610 

From Adam: How many sheet of 4ft by 8ft foam would I need to lay under a pool 15dt in diameter Answered by Penny Nom. 





The area, radius and slant height of a cone 
20180518 

From joette: If you have a cone how to find the slant height when given the area and radius? Answered by Penny Nom. 





A rectangular prism with rounded corners 
20180425 

From Jackie: Rectangular prism that is 40 by 20 with rounded corners with a radius of 2.5.
What would the surface area be? Answered by Penny Nom. 





How to find the area of triangle? 
20180419 

From g.a: how to find the area of triangle Answered by Penny Nom. 





A triangle in a cube 
20180416 

From Sohel: A cube has an edge of 4 cm. A triangle is formed by joining the middle point of one face of the cube to the ends of a diagonal of the opposite face . What will be the area of the triangle ? Answered by Penny Nom. 





Two regular pentagons 
20180319 

From Kip: The ratio of the corresponding apothems of two similar regular pentagons is 5:7 What is the ratio of their areas? Answered by Penny Nom. 





A circle of circumference 4*pi*r 
20180319 

From Ankith: If the circumference of a circle is 4*pi*r, what is its area?
i) 4*pi*r^2
ii) 2*pi*r^2
iii)3*pi*r^2
iv) pi*r^2 Answered by Penny Nom. 





Dividing a region in half 
20180224 

From mandy: There is a line through the origin that divides the region bounded by the parabola y=4x−5x2y=4x−5x2 and the xaxis into two regions with equal area. What is the slope of that line? Answered by Penny Nom. 





Needing the area of an irregular Pentagon 
20171206 

From Dale: I'm needing to find the square footage of an irregular pentagon.
I've seen the other questions similar to this one, but without a great deal of difficulty can't get you the angle degrees, or the length between opposing angles.
I'm hoping that a different bit of information can help. So here goes:
The longest side is 67ft long.
One of its legs is 39ft long, and the other is 18ft long.
The leg off of the other end of the 39ft leg is 35ft long.
The leg off of the other end of the 18ft is 49ft long, and meets the other end of the 35ft side.
The information that I DO have, which I'm hoping makes the difference, is that the 39ft and the 18ft sides are parallel.
Also, while the angles at each end of the 67ft side are not right angles, they are fairly close to it,
approximately 80 degrees at the 39 ft side corner, and 100 degrees at the 18ft side corner.
Dale. Answered by Harley Weston. 





An expression for the area of a triangle 
20171119 

From hari: why is area of a triangle drawn from centre of a circle i.e radii forming the sides is
1/2 *r^2 sin theta where r is radius Answered by Penny Nom. 





Surface area of a hemisphere 
20171028 

From Shaina: If the total surface area of a hemisphere be 36.22/7 cm then its radius will be 3 cm is it true or false Answered by Penny Nom. 





The surface area of a sphere 
20170917 

From penny: The surface area of a sphere is 1519.76cm. Taking 3.14 , find the radius of sphere Answered by Penny Nom. 





Quadrilateral ABCD is inscribed in a circle 
20170911 

From Joie: Quadrilateral ABCD is inscribed in a circle such that side DA is the diameter. AB=2m., BC=4m., CD=6m., angle BAD=75.93degrees. Find the area of the quadrilateral. Answered by Penny Nom. 





The surface area of a hexagonal pyramid 
20170616 

From Emilie: Hello, I need help with this question:
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
Thank you in advance if you can help me... Answered by Penny Nom. 





The maximum area of a rectangle with a given perimeter 
20170602 

From Bob: How would I go about finding the maximum area of a rectangle given its perimeter (20m, for example)? Answered by Penny Nom. 





More on calculating the area (acreage) of a foursided lot 
20170306 

From Kerri:
Can you please show the formula used to calculate areas as provided on this page:
Calculating the area (acreage) of a foursided lot Answered by Penny Nom. 





Covering a ceiling with tablecloths 
20170224 

From DEANNA: I am trying to cover a 16 x 31 foot ceiling with tablecloths. For sale, are 90 x 132 inch tablecloths for $4.97 a piece and 60 x 102 inch tablecloths for $3.85 a piece. Which would be my cheapest option to cover the entire space? Answered by Penny Nom. 





A rectangle with a given perimeter and area 
20170111 

From Joe: i have a math question for homework that i don't understand.
can you draw a rectangle that has 18cm in perimeters and 20cm in areas.
i tried but i can't. Answered by Penny Nom. 





Two concentric circles 
20161221 

From shrestha: Two concentric circles have radii of 14 cm and 7 cm respectively. Find the area of space between them. Answered by Penny Nom. 





The area of a city block 
20161208 

From Miura: A city block is three times as long as long as it is wide.if the distance around the block is 0.48 kilometers, what is the area of the block in square meters? Answered by Penny Nom. 





The area of a rectangle 
20161105 

From Ivan: If the vertices of a rectangle are a(1,3),b(3,4),and c(1,4),find it area. Answered by Penny Nom. 





A search area 
20160813 

From tammy: if your searching an area and you go 300 km from point A and search 380° what or how much area would you search? Answered by Penny Nom. 





Covering an octagonal region with sand 
20160813 

From Lynn: How much sand is needed to fill a 20 ft. wide octagon area 6 inches deep? Answered by Penny Nom. 





The area of a circle 
20160812 

From sandeep: if circumference of a circle is πd what is the area? Answered by Penny Nom. 





Spraying an acre 
20160807 

From Sara: I have a spray rig that is 80' wide. How many feet must I go to have sprayed an acre? Answered by Penny Nom. 





The perimeter and area of a shape 
20160630 

From Scott: If I have a 16 x 32 rectangle the square feet is 512. So if I take a rope 96 feet long , which is the lineal feet of the rectangle, and manipulate it to any shape I want does the square footage inside the rope stay at 512 square feet? Thanks in advance! Answered by Penny Nom. 





A 1.4 acre square 
20160628 

From Jamie: Dear Faithfullness,
I was previously to be purchasing a square 1 acre plot, which I believe was to have 209feet, 4 sides perimeter.
How big would a 1.4 acre site be?
In sq feet length ie original 209ft + (the adeed 0.4) Answered by Penny Nom. 





The area of a 4sided lot 
20160525 

From prasad: How to find area of a land whose sides are 41ft,33ft,32.3ft and 33.2 ft. Pl give me the formula and proof. Answered by Penny Nom. 





A sector of a circle 
20160421 

From mustafa: In a sector of a circle, the arc length is equal to half the perimeter of a sector.find the area of a sector in terms of r Answered by Penny Nom. 





A square of side length 4x3 units 
20160420 

From Bryan: Find an expression that represents the area of a square with side length 4x3 Answered by Penny Nom. 





The area and the perimeter of a rectangle 
20160412 

From kimberly: is there a relationship between the are and the perimeter of a rectangle?
explain. Answered by Penny Nom. 





The area of a rectangle 
20160303 

From Lucas: The area of a rectangle is given by A=x2+18x+72
use factoring to find an expression for the dimensions of the rectangle.
if the area of the rectangle is 7 square feet, what are the possible values of x?
what are the dimensions of a rectangle? Answered by Penny Nom. 





Corrosion inhibitor in a pipeline 
20160302 

From Edu: I have a 12 in pipeline and 5 miles long. I need to coat it with corrosion inhibitor how much chemical will I need Answered by Penny Nom. 





An algebra problem with a sphere 
20160229 

From Sania: If the number of square centimeters on the surface area of a sphere is equal to the number of cubic centimeters in its volume find its diameter Answered by Penny Nom. 





A quadrilateral inside a square 
20160130 

From Subrahmanya: In a square ABCD of side 6 units P, Q are mid points of BC, CD respectively. The line segments BQ, DP intersect in R then find the area of the quadrilateral ABRD using only plane geometry. Answered by Chris Fisher. 





The perimeter of a triangular plot of land 
20160111 

From Janelle: I need to fence off 6.5 acres. The plot is triangular shape. How many feet would I be fencing off? Answered by Penny Nom. 





The area of a rectangle 
20160108 

From ranjan: if we make a rectangle with a 100cm of wire, then its area will be? Answered by Penny Nom. 





Number of bricks needed 
20151230 

From trudy: if I have 250 sq ft of space that I want to fill with bricks that measure 7.5 in by 11.5 in how many bricks do I need to fill the 250 sq ft. Answered by Penny Nom. 





The dimensions of a rectangle given its area and aspect ratio 
20151213 

From colum: Can you work out the length and width of a rectangle where you know only the area and aspect ratio Answered by Penny Nom. 





The area of a domed roof 
20151113 

From Brandon: I have a tank with a 13' radius that has a domed roof of 3.5' tall How do I figure out the area in SQFT? Answered by Penny Nom. 





Doubling the area of a pamphlet 
20151031 

From Mariam: A pamphlet has the following dimensions: 4 cm by 6 cm
If the area of the pamphlet is doubled, what will be the length of each side if sides can be integer values only? Answered by Penny Nom. 





The area of two lots 
20151013 

From Lynn: I have 2 lots that have mobile homes on them... I was told they were 100 x 200 lots.. I have tried to calculate it on here but was not able to understand how to exactly do it. I would like to know if I have a 1/2 acreage or exactly what the 2 lots are? Answered by Penny Nom. 





Parallelogram area 
20150804 

From Nigel: To find the area of a parallelogram you multiply the base by the height of the parallogram, the height being determined by an imaginary line drawn at right angles to the base. However if I made a parallelogram with joints at each corner and maipulated it to an upright position where the base and sides were at 90 degrees to each other,, I could then simply multiply the base times the height to get the area. Since the sloping side of the parallelogram does not vary in my imaginary jointed model, why can I not simply multiply the base by the sloping side to get the area in the same way that I multiply the base times the height of a square to find its area ? I cannot find the answer to this on the internet although I have searched. Answered by Chris Fisher. 





Why is the area of square not conserved when it changes to a rhombus? 
20150628 

From shubham: Why is the area of square not conserved when it changes to a rhombus, both have equal sides still rhombus have less area than square.?? Answered by Penny Nom. 





The area of an isosceles triangle 
20150611 

From Pradipta: Find the area of an isosceles triangle having two equal sides of 20 cm each and angle between them 45 degree ? ( solve without trigonometric function). Answered by Chris Fisher. 





The surface area of a round bar 
20150606 

From chirag: Please tell me the formula for finding round bar surface in square inches/ mm Answered by Penny Nom. 





The surface area of a triangular prism 
20150603 

From Alex: Find the surface area of a triangular prism with Isoceles triangles and dimensions 4 feet by 6 feet Answered by Penny Nom. 





A pentagon inscribed in a circle 
20150530 

From Victoria: find the area of a regular pentagon inscribed in a circle with radius 3 units Answered by Penny Nom. 





The surface area of a hemisphere 
20150505 

From Mandy: How can I show that the total surface are of any solid hemisphere is 75% of the area of the full sphere? Answered by Penny Nom. 





A square and a rectangle 
20150501 

From nick: why is the area of a square of a given circumference greater than the area of a rectangle with the same circumference ? Answered by Penny Nom. 





The surface area of a cut pipe 
20150427 

From ARUN: dear Sir,
please advise me , how to calculate the surface area of a pipe with diameter of 630 mm and thickness of 67 mm which is cut in a angle of 22.5 degree.
please show me how to calculate the surface area of the pipe which cut in an angle.
Thanking you. Answered by Harley Weston. 





The area of a circle given the circumference 
20150412 

From F: How do you find the area of a circumference of 6?
Thanks. Answered by Penny Nom. 





The area of the ring between two concentric circles 
20150408 

From Conner: The area of the ring between two concentric circles is 25pi/2 square inches. The length of a chord of the larger circle tangent to the smaller circle is? Answered by Robert Dawson. 





A region defined by three lines 
20150316 

From Lucinda: find the area of the figure formed by the line y=5x+9 and the xaxis and yaxis. Answered by Penny Nom. 





The volume of a trench 
20150311 

From Kim: A trench 60m long and 15m deep, 12m wide at the top and 8m wide at the bottom.How many cubic meters of earth have been removed? Answered by Penny Nom. 





The area of a quadrilateral 
20150311 

From Joel: Diagonal ac of quadrilateral ABCD is 60cm and the lengths of perpendiculars to
It from the opposite vertices are 4.2cm and 5.8 cm find the area of the quadrilateral
ABCD Answered by Penny Nom. 





A lot on a culdesac 
20150306 

From ana: Julie lives on a culdesac and wants to know if the city calculated the area of her plot of land correctly (see diagram below). We can assume the culdesac is a circle and it has radius 40 feet.The boundary of the lot along the culdesac (the arc from A to B) is 78.21 feet. The city found the area to be 7012.5 square feet–are they correct? Answered by Penny Nom. 





The radius of a cylinder 
20150226 

From Rose: Hi. I want to know how to find the radius of cylinder.
When I have height (35cm) and area of the curved surface(880sq.cm).
I know the formula is 2πr(h+r). But I can't understand how to find it's radius.
Please help me. I really need your help. Answered by Penny Nom. 





Tiling a room 
20150216 

From Owen: nicolas room is 56m2 she wants to put tiles down which are 50cm by 50cm each cost £4 how much money will she spend Answered by Penny Nom. 





The length of a roll of paper 
20150112 

From Peggy: roll of paper 3ft wide and roll equals 500 sq ft how long would the roll be? Answered by Penny Nom. 





A cuboid 
20141211 

From Nehal: Six cubes have a surface area of 24 cm2. They are joined together to male a cuboid.
What could the surface area of this cuboid be? There are two different answers. Answered by Penny Nom. 





A truncated, squarebased pyramid 
20141123 

From Hannah: A designer vase has the shape of a truncated, squarebased pyramid. The base of the vase is a square with a side length of 15 cm. The area of the square opening is 70.56 cm2. Each of the four sides is a trapezium with slant sides 9 cm long. Find (to the nearest square centimetre) the total surface
area of the vase. Answered by Penny Nom. 





The area of a pentagon 
20141104 

From Gracie: i really need help with this problem in my math book, will you help?
"Derrick drew regular pentagon with side lengths of 8 centimeters.
He divided the pentagon into 5 identical triangles, and measured the
height of one of the triangles to be 5.5 centimeters. Find the area of
the pentagon."
this really makes no sense to me. Can you help me with anything
to make it easier?
THANKS!!!!! Answered by Penny Nom. 





The area of a circle in terms of the circumference 
20141104 

From Sarah: How do you find the area of a circle if you already have the circumference?
There was one answer to this question already but it didn't make sense to
me, because they rounded up pi which you can't do so the answer is
incorrect. thanks Answered by Penny Nom. 





How does pir^2 = 1/4pid^2? 
20141014 

From al: Hi I cant work out the algebra. How does pir^2 = 1/4pid^2 Thanx Answered by Penny Nom. 





The area of a quadrilateral 
20140806 

From Rahul: find the area of the quadrilateral whose side measure9cm,40cm,28cm,15cm and in which the angle between the first 2 sides is a right angle Answered by Penny Nom. 





The area of a kite 
20140804 

From Janis: How do you calculate the area of a kite with the diagonals 24cm and 48cm? Answered by Chris Fisher and Penny Nom. 





A 5 sided lot 
20140710 

From mia: have the feet numbers of three sides, but the forth side is in a "V" so it has two figures.
Question: can i add the two figures of the "v" together to get one figure, so then I would have the figures for all four sides. Answered by Harley Weston. 





The width of a rectangle 
20140702 

From john: if the area of a rectangular field is 90 sq. m and its length its is 19 m find its width Answered by Penny Nom. 





The area of a circle of circumference 32.69 meters 
20140611 

From coco: Find the area of a circle with a circumference of 32.69 meters. Answered by Penny Nom. 





Forming a cylinder from a square 
20140608 

From kalyani: the curved surface of a cylinder is a square of diagonal 2*square root of 2. What is the area of the base of the cylinder? Answered by Penny Nom. 





A hexagon with different side lengths 
20140516 

From Grace: Sorry if this is a simple question, but I can't seem to understand how to solve it. I am Trying to find the area of a hexagon with measurements 6x7x6x6x7x6, or 2 sets of opposing sides with 6, and one set with 7. Thank you. Answered by Penny Nom. 





Surface area 
20140502 

From vijay: If a square paper of side 25 cm is rolled to form a cylinder, then its curved surface area is Answered by Penny Nom. 





The area bounded by the Xaxis and y=x^(2)4 from 5 to 0 
20140415 

From Lexie: Determine the area that is bounded by the following curve and the xaxis on the interval below. (Round your answer to three decimal places)
y=x^(2)4, 5 ≤ x ≤ 0
The answer is 32.333 but I have no idea how to get there. Answered by Penny Nom. 





The surface area of a circular dome 
20140410 

From Shafiqah: Is this a dome's surface area formula??
{{2 × π r × h square units}}
Is the surface area of the floor for the dome is calculate too in this formula?
Thanks for answering. =) Answered by Robert Dawson and Penny Nom. 





The surface area of a rectangular prism 
20140408 

From Manraj: Find the surface area of a rectangular prism with dimensions 4, 5, and 7 units. Answered by Penny Nom. 





A cubical tank 
20140401 

From renzo: A cubical tank contains 2048 cubic ft of water when HALFFULL. Find the total area of the tank and the length of its diagonal Answered by Penny Nom. 





Two overlapping arcs in a square 
20140315 

From Jean: I have a square with side 4 cm. There are two overlapping arcs going from vertex to diagonal vertex. The other two vertices are the center of the arcs, which are shaded. How do I find the area of the shaded arcs? The overlapping arcs when shaded resemble a long thin football
Thank you for your help. Answered by Penny Nom and Walter Whiteley. 





The area of a 5 sided lot 
20140315 

From Michael: Question from michael:
This lot is in feet. 59x154x109x188x137 per the plot plan Answered by Harley Weston. 





A rectangular shaped property 
20140117 

From Donna: If I I have property that is rectangle shaped. I I know the ends are 100 feet how many feet would the sides be to make 5.4 acres Answered by Penny Nom. 





The area of a quadrilateral 
20131221 

From khushboo: Find the area of quadrilateral pqrs in which
angle QPS=90°,PQ=12cm, PS=9cm, QR=8cm and SR=17cm.
(Hint: PQRS has two parts) Answered by Penny Nom. 





The area of a parallelogram 
20131128 

From shivam: a parallelogram has sides 34 cm and 20 cm .one of its diagonal is 42 cm. calculate its area Answered by Harley Weston. 





The area of an irregular octagon 
20131118 

From zafar: if i have a rectangular octagon then how i can find its area
1. The length of rectangle is 42 and the width is 21 and and the base length is 4212 =30 i mean the
length of base =30 Answered by Penny Nom. 





The area of a semicircle 
20130728 

From Lucy: Find the area of the the figure described: a semicircle with arc length 3 pi. Answered by Penny Nom. 





The surface area of a pyramid 
20130611 

From Sam: A right rectangular pyramid has a rectangular base measuring 18 cm by 32 cm. The height of the pyramid is 12 cm. What is the surface area? Answered by Penny Nom. 





The surface of a solid 
20130507 

From mustafa: I am doing a research paper on solid surface applications . Part of the project is to find four at least in our world today and explain what there purpose is. I really need help in this area because I've been searching the internet for where solid surface are used in our world today and I really can't find anything.. Thanking you in advance, mustafa Answered by Penny Nom. 





The rings of a bull's eye 
20130428 

From Math: The bull’s eye of a target is a circle 20 cm in diameter. It is surrounded by four rings, each 15 cm wide. Find the area of each ring. Answered by Penny Nom. 





The area of a right triangle 
20130410 

From derek: The legs of a right triangle measure 4 and 6 inches. The area of the triangle is Answered by Penny Nom. 





The area of an isosceles right triangle 
20130330 

From Michelle: We have a triangle it is a right isosceles. The sides touching the right angle are 10 cm. They hypotenuse is 14.1 (the base) we are trying to find the height of this so we can figure out the area of a shaded sector of a circle. Answered by Chris Fisher. 





Tiling a floor 
20130318 

From whitley: Question from Whitley, a student:
How many square feet of tile do you need to cover the floor of a room that is 20ft, 25ft, 15ft, 20ft, 5ft, and 5ft
I made a replica of the floor Answered by Penny Nom. 





The area of a rectangle 
20130129 

From Bali: if the length of the
rectangular field is decreased by 5m,
its area is decreased by 70 sqm. if the
width is increased by 6m, the area is
increased by 180 sqm. determine the
length and width of the rectangular
field? Answered by Penny Nom. 





A triangular island 
20121229 

From Udit: A long time ago Mr Gibson found an island shaped as a triangle with three straight shores of length 3 km,4 km and 5 km. He declared an 'exclusion zone' around his island and forbade anyone to come within 1 km of his shore. What was the area of his exclusion zone? Answered by Penny Nom. 





An area bounded by lines 
20121216 

From sidra: find area bounded by functions:
y=x
y=2x
and y=5x Answered by Penny Nom. 





The area of a triangle given its vertices 
20121127 

From elizabeth: how to calculate the area of a triangle using points ABC a (2,5) b ( 4,3) c ( 6, 1) Answered by Penny Nom. 





A raised bed in the shape of an octagon 
20121122 

From pat: I want to make raisedbed gardens  usually 4' square, but want to be more creative by creating octagonal boxes. The ideal size for square beds is 4'x4'. The boards are 8' long, so I want to get as much out of a board as I can. If I want an octagon with a diameter of 4', I think the sides would be (rounded off) about 1.5' each using 2 full boards with a little waste and the growing space would be less than a 4' square (16 square feet). If I want to increase the length of each side to 2' each (getting the max from a board), what will the diameter of this octagon be so I can determine the growing space of the box. (The reason a 4' square is important in gardening, besides maximizing the wood, is that a person can reach into the center to plant and pick veggies without stepping on the soil, so diameter is important). My math days are long over and I'm having trouble working with octagons! Thank you! Answered by Harley Weston. 





A path around a pond 
20121116 

From bailey: hi there,
A circular pond is surrounded by a path 1 metre wide.
The area of the path is 1/4 of the area of the pond.
Find the radius of the pond.
Thanks Answered by Penny Nom. 





Frosting a three layer cake 
20121030 

From johnathan: Each layer of a 3 layer cake is a cylinder with height 7.5 cm. The bottom layer has diamegter 25 cm. The middle layer has dimegter 22.5 cm. The top layer has diameter 20 cm. The surface of the cke is frosted. What area of the cake is frosted. I get 1695.56 but the answer in the book is 2081.3 Answered by Penny Nom. 





A label to cover a plastic cup 
20121023 

From Kevin: I'm trying to make a label to cover the entire outer area or a plastic cup. I know there must be a way to figure out the dimensions needed, but I can't seem to figure it out. The circumference of the bottom of the cup is 21.4cm and the circumference at the top of the cup is 29.8cm. The cup is 14.5cm tall. What should the height of the arc from the plane connecting the two ends of the 21.4cm arc. I attached a diagram where x is the value I'm looking for. I'm guessing there is some simple relationship between the length of a line and the arc needed to turn that line into a perfect circle, but I don't know what it is. Can you figure this out and share it with me? Thanks.
Kevin Answered by Penny Nom. 





Painting 400 drums 
20121005 

From Jordan: This cylinder is given:
Cylinder with a height of 84 cm and a diameter of 54 cm.
Question: The exterior of the drum (cylinder), except the base, is to be painted blue. calculate how many litres of paint will be needed to paint 400 drums if one litre of paint covers 8.8meters Squared.
Answer to nearest tenth of a litre. Answered by Harley Weston. 





\mbox 
20121005 

From Jordan: This cylinder is given:
Cylinder with a height of 84 cm and a diameter of 54 cm.
Question: The exterior of the drum (cylinder), except the base, is to be painted blue. calculate how many litres of paint will be needed to paint 400 drums if one litre of paint covers 8.8meters Squared.
Answer to nearest tenth of a litre. Answered by Harley Weston. 





The area of a rectangle 
20120831 

From mario: The area of a triangle when on side is x and the other is x+6 Answered by Harley Weston. 





A 5 pointed star in a circle 
20120805 

From wiljohn: find the area of a 5 pointed star in the circle with a radius of 12.517 Answered by Chris Fisher. 





A garden in the back yard 
20120804 

From Lucy: Your boss says that his wife has put an 18 × 51 foot garden in along the whole back end of their back yard. He says that this has reduced the backyard lawn area by 24%. What are the total dimensions of his back yard? What are the dimensions of the remaining lawn area? I found this question on purplemath(http://www.purplemath.com/modules/percntof3.htm). I still don't understand how to solve it. Can you walk me through the process please?
Thank you in advance for taking the time to answer my question. Answered by Penny Nom. 





The area of a rectangle 
20120724 

From michael: the dimension of the rectangle are (x+5) and (x3) find its area Answered by Penny Nom. 





The surface area of a dome 
20120606 

From sravya: how to calculate surface area of a dome if its base radius and height are known and neither it is hemisphere nor radius of sphere is known?? Answered by Walter Whiteley. 





The area of a semicircle 
20120528 

From Rebecca: how do you find the area of a semi circle and then how do you add the area of a semi circle and the area of a rectangle? Answered by Penny Nom. 





The area of a triangle 
20120517 

From Emilee: hi. How do i find the area of a triangle if the vertices are (3,0) (2,2) and (3,0). I graphed it and it came out a triangle. How do I find the area of it in an easy way? Answered by Penny Nom. 





The area of a quadrilateral 
20120421 

From Rajat: calculate the area ABCD in which AB is 48'1'',BC is 98'4'',CD is 61'4'',DA is 102'10'',AC is 110'3'',BD is 116'9''. Answered by Penny Nom. 





The surface area of the tetrahedron 
20120404 

From youssef: how to find the total surface area of the tetrahedron ? Answered by Penny Nom. 





The area of a right triangle 
20120403 

From Shelli: How do you find the area of a right triangle if you only know that the hypotenuse is 10 and that the base and height are unknown but are equal? Answered by Penny Nom. 





Two overlapping circles 
20120321 

From Monty: If you have a 3.75" radius circle overlapping a 5" radius circle with their centers 3" apart what would be the area of the nonoverlapped portion of the small circle? Answered by Penny Nom. 





The area of an irregular hexagon 
20120320 

From Jacob: I am having trouble finding the area of an irregular hexagon with 5 right angles.
It has 5 given sides, with the lengths as follows:
8.2 ft.
6 ft.
4.5 ft.
2.2 ft.
6 and one third ft. Answered by Chris Fisher. 





The area and perimeter of a rectangle 
20120301 

From RAJIB: PEREMETER OF A RECTANGLE IS 24. FIND THE AREA ? Answered by Penny Nom. 





A cylindrical container 
20120214 

From KRIS: YOU ARE PaCKAGING 4 EQUAL SIZED PAINT CANS WITH A RADIUS 8CM AND A HEIGHT OF 20CM, IN A CIRCULAR CONTAINER.What is the surface area of the packing container? Answered by Penny Nom. 





Wallpapering a room 
20120208 

From jimmy: Ms. Frank is going to
wallpaper a living room with dimensions
24 feet long, 18 feet wide, and 8 feet
high. What surface area does Ms. Frank
plan to wallpaper? Answered by Penny Nom. 





A road around a garden 
20120207 

From Manu: Inside a square garden of side 158m, a road 4m wide is built all around. What is the area of the remaining part of the garden? Answered by Penny Nom. 





Two sectors of a circle 
20120203 

From Wayne: I am not even sure what to ask. I have to two lengths of feet and an angle of degrees, and I have to find the area?
**Problem attached
Thanks,
Wayne Answered by Penny Nom. 





The dimensions of a rectangle 
20120131 

From Dazz: Hi I was wondering how to find the length of a rectangle if you know the area is 484 square inches And the length is 10 square inches or 22 square inches?
Thanks~Dazz Answered by Penny Nom. 





The area of a triangle 
20120127 

From mary: I have a scalene triangle and the base is 33m, side is 52m and the unparallel side is 25m but i drew a dotted line down and that s 20m
how do i figure the area?
thanks Answered by Penny Nom. 





A fountain 
20120124 

From kris: A fountain has a radius of 14 meters to its outer edge. Their is an inner ring in the center of the fountain, where a statue of Sir Isaac Newton stands, that does not contain water. The inner ring has a diameter that is 6m less than the diameter of the outer ring of the fountain. What is the circumference of the inner ring? What is the area that is covered by water in the fountain? Answered by Penny Nom. 





A picture in a frame 
20120110 

From nnadozie: a picture, which measures 46cm by 38cm, is surrounded by a frame, which is 2cm wide, find the area of the frame. Answered by Penny Nom. 





Triangles, area and perimeter 
20120101 

From Panny: I saw a question asked on your board without an answer.
How do I find the area of a triangle any triangle if I only know the perimeter.. Answered by Penny Nom. 





Three sides of a triangle 
20111224 

From saba: the three sides of a triangular lot have lengths 10,11and 13cm,respectively.
find the measure of its largest angle and the area of the lot? Answered by Penny Nom. 





The circumference and area of a circle 
20111213 

From Mable: A circle that going 70mi across using 22/7 I need the area,radius, and the circumference
and how to set up the steps can you help? Answered by Penny Nom. 





A 2 by 9 array 
20111206 

From Rosalynn: what multiplication fact can be found by using the arrays for 2x9 and 5x9 Answered by Penny Nom. 





The area of a triangular garden 
20111031 

From tasha: a garden has sides of 6m,8m and 10m find the area Answered by Chris Fisher. 





The end of a trough 
20111021 

From Lorraine: The vertical end of a trough has the following dimensions: width at top 4.4 ft., width at bottom 3.2 ft., depth 3.5 ft. Find the area at the end of the trough. Answered by Penny Nom. 





The area of a circle 
20111017 

From Winney: If the diameter of a semicircle is 3 feet what is the area. Answered by Penny Nom. 





Maximum area of a rectangle 
20111004 

From Lyndsay: A rectangle is to be constructed having the greatest possible area and a perimeter of 50 cm.
(a) If one of the sides of the rectangle measures 'x' cm, find a formula for calculating the area of the rectangle as a function of 'x'.
(b) Determine the dimensions of the rectangle for which it has the greatest area possible. What is the maximum area? Answered by Penny Nom. 





The sides of a regular octagon of area 800 sq. ft. 
20110921 

From Susan: Help please. I am building an octagon tree house to live in. I would
like the total square footage to equal 800 to 1,000 sq ft. How long
should each side of the octagon be.
tx, susan Answered by Penny Nom. 





A rectangle of largest possible area 
20110916 

From mary: Steven has 100 feet of fencing and wants to build a fence in a shape of a rectangle to enclose the largest possible area what should be the dimensions of the rectangle Answered by Penny Nom. 





A rectangular wall 
20110912 

From Jimi: The area of a rectangular wall of a barn is 110 square feet. It's length is 12 feet longer than twice its width. Find the length and width of the wall of the barn. Answered by Penny Nom. 





A border around a flower garden 
20110828 

From jessica: A Landscaper, who just completed a rectangular flower garden
measuring 6 feet by 10 feet, orders 1 cubic yard of premixed
cement, all of which is to be used to create a border of uniform
width around the garden. if the border is to have a
depth of 3 inches, how wide will the border be?
( 1 cubic yard=27 cubic feet) Answered by Penny Nom. 





50,000 cubic yards of dirt 
20110812 

From JUDY: IF MY HUSBAND HAS A JOB THAT REQUIRES HIM TO MOVE 50,000 CUBIC YARDS OF DIRT, HOW MUCH LAND WOULD THAT COVER AT 1 FOOT DEPTH. Answered by Penny Nom. 





A 3 foot circle using 1/2" cord 
20110804 

From Cindy: To make a 3 foot circle using 1/2" cord  how many lineal feet of cord
do I need? Answered by Robert Dawson. 





A cone with an oval as a base 
20110803 

From Emily: Hi, I was wondering how to calculate the surface area of a cone with an oval as a base (which I think is referred to as an elliptic cone or something like that). I have the both the maximum and minimum radius as well as the height, but I don't have a slant height and I'm not sure how to calculate it and then calculate surface area. I would really appreciate some help. Thanks! Answered by Robert Dawson. 





Tiles for a back splash 
20110604 

From Catherine: How man 3 11/16 tiles do I need for 28 square foot for a back splash Answered by Penny Nom. 





The surface area of a hemisphere 
20110529 

From Brenda: What is the surface area of a hemisphere with a radius of 2 inches? Answered by Penny Nom. 





What is the perimeter if the area is 20 ft? 
20110510 

From Brooke: What is the perimeter if the area is 20 ft? Answered by Penny Nom. 





The area of a rectangle 
20110430 

From Hayley: A rectangles width is exactly twice its length. The area of the rectangle is 450 square feet. What are the length
and width of the rectangle? Answered by Penny Nom. 





The radius of a cylinder 
20110427 

From Jazmin: Hi, I don't understand how to find the radius in a cylinder with only the surface area (143.7) and the height (0.8)? I know that the formula is 2pir2+2pirh, but I don't see how to isolate the r? I appreciate your help. Answered by Penny Nom. 





A concrete walk around a pool 
20110415 

From Skipper: I want to know the answer if you were to want a pool to be 20 ft by 30 ft and wanted a 5 ft border around it what would be the dimension of the whole area plus concrete walk Answered by Penny Nom. 





The rate of change of the area of a parallelogram 
20110405 

From Gevork: Let a parallelogram have sides of 8 and 12 and let vertex angle A be decreasing at a rate of 2degrees per minute. Find the rate of change of the area of the parallelogram when angle A equals 30 degrees. Answered by Penny Nom. 





A region bounded by a chord and an arc 
20110228 

From Gene: find the area of a segment bounded by a chord and a 45 degree arc of a 36" circle Answered by Robert Dawson. 





Cutting the top off a conical tent 
20110222 

From tom: how far from the top must you cut a conical tent in order to cut the
cloth in half... Answered by Penny Nom. 





An irregular hexagon 
20110209 

From Emma: Hello,
I have math question about how to find the area of an irregular hexagon.
It is shaped like a backwards L and the side lengths are as follows
11cm
8cm
5cm
5cm
6 cm
3cm
Can you please help me find the area of this?
Emma Answered by Penny Nom. 





The area of a rectangle 
20110131 

From T.S.: for which value of w does the rectangle below have an area of 864 square units if sides are width=w+15 and length=w15 Answered by Penny Nom. 





The area of isosceles triangle 
20110124 

From imraan: how to find the area of isosceles triangle by knowing only its sides Answered by Penny Nom. 





Tiling a swimming pool 
20110109 

From rustom: (a) Find the volume of water in swimming pool with vertical ends and sides
. The length measured at the water line is 50 ft. and the breadth is 20 ft. The
bottom of the swimming pool is a plane sloping gradually downward so that
the depth of the water at one end is 4 ft. and 8ft. at the other end.
(b) If the sides, ends, and bottom of the swimming pool are constructed of
tile blocks whose glaze surface dimensions are 3in by 6in. , and if the ends
and sides of the pool extend 2ft.above the water level, find the number of
blocks used if 1/20 of the surface area is covered by sealing material.
I got the (a) question but I don't know the (b) question which have the answer
of 16,136 blocks. I hope I can get the procedure for this, THANK YOU! Answered by Penny Nom. 





A sector of a circle 
20110107 

From Alice: the radius of a circle is 7cm the angle of the sector is 68 how do you find the Answered by Penny Nom. 





Rondo the snail 
20110105 

From Kristen: He trained his snail, Rondo, to crawl around a 6 x 8 rectangle. Rondo stayed exactly 3 cm from teh rectangle at all times. What is the total area that Rondo surrounded with his slime trail? Answered by Penny Nom. 





Area and volume of a parallelepiped 
20101214 

From ryan: Got a question, I'm really confused what the question mean and how the diagram would look like... someone please help... Here's the question.
The base of a parallelepiped is a rectangle 4m by 6m. If its lateral edge is 8m and is inclined at an angle 45 degrees to a 6m edge of the base, find the total area and volume of its parallelepiped.
My dilemma is what does it mean by the lateral edge of 8m is inclined at 45 degrees to a 6m edge of the base? Can someone post a diagram to help me solve the promble. Thanks in advance. Answered by Chris Fisher. 





The height of the trapezoid 
20101201 

From Ryan: A trapezoid has an area of 10.5 cm squared and parallel sides that
measure 5.0 cm and 2.0 cm what is the height of the trapezoid Answered by Penny Nom. 





A rectangular piece of plywood 
20101130 

From Austin: A rectangular piece of plywood is trimmed to make it square by cutting a 4cm strip off the top and a 2cm strip off one side. If the area of the original piece is 74cm2 greater than the area of the square, find the dimensions of the rectangle. Answered by Penny Nom. 





A sector of a circle 
20101129 

From Mel: Find the area of a sector of a circle that has a central angle of 13pi/18 and a radius of 12cm. Round answer to nearest 10th degree Answered by Penny Nom. 





Intersecting polygons 
20101117 

From Laura: How can I estimate the amount of intersection (area or better a normalized number) between two polygons if I have the cartesian coordinates of their vertices?
Thank you in advance,
regards,
Laura Answered by Robert Dawson. 





The area of an equilateral triangle 
20101111 

From ginny: If a equilateral triangle has side lengths of 41.33m how would i calculate the area?
if i don't know the height of the triangle?
thank you. Answered by Penny Nom. 





A 500 ft by 30 ft strip 
20101104 

From Bill: How many acres are in a strip 500ft. X 30ft. Answered by Penny Nom. 





A rectangle with rounded corners 
20101021 

From Connie: How do you find surface area if the rectangle is 100ft. by 200ft. with quarter circles in the corners with a radius of 20ft. ? Answered by Penny Nom. 





Area on a dart board 
20101011 

From Robert: A dart board consists of concentric circles and line segment. the radius of the bull's eye is 4 inches and each ring surrounding the bull's eye is 3 inches wide.
a) what is the area of the bull's eye
b) what percent is the bull's eye.
hint there are 4 rings and the bull's eye is divided into 4 (90) degree angles (meaning 1/2 up and down) (1/2 left to right. Answered by Stephen La Rocque. 





The third vertex of a triangle 
20100923 

From nikos: Hi, I would really appreciate any help in this:
"Suppose you have a triangle (any triangle, no hypotheses allowed), let's call it ABC.
You know the coordinates of the two vertexes, A(x1,y1), B(x2,y2) and the area of the triagnle, let's call it D.
Can you find the third vertex of this triangle based on these facts?"
Thanks a lot! Answered by Harley Weston. 





May Lee's cake 
20100918 

From Wafa: May Lee bought a cake which is circular in shape. Her sister ate a quarter of the cake. Given that the area of the top surface of the remaining portion is 520 square cm, find the diameter of the cake. Answered by Penny Nom. 





The area of a hexagon 
20100728 

From Katie: Hi i have to find the area of a hexagon with only the side length 2cm given
would you be able t help? Answered by Walter Whiteley. 





The area of a 4 sided region 
20100714 

From Cliff: If I wanted to know the square footage of an area that has four different sides and only had the length of one side and the angles at the ends of that length; could the other lengths be found if I wanted to have a total of 130,680 square feet? Answered by Robert Dawson and Tyler Wood. 





An octagonal building 
20100623 

From Nancy: I have to submit my approximate sq. meters of an Octagon home in
Costa Rica. All I know is all sides are equal. One structure has all sides at 16 feet and the second one has all sides equal at 8 ft. I then have to convert it to sq. meters. Can anybody help me with this? Thank you so much, Nancy Answered by Penny Nom. 





The area of a circle 
20100612 

From grier: please,
what is the area of a semicircle with arc length 3pi? Answered by Penny Nom. 





Four circles in a square 
20100604 

From Daniela: four circles are drawn in a square such that the circles are tangent to each other as shown. find the area of the shaded region. It the goes on to show a diagram with a square and four circles drawn in it. The length of a side of the square is 24. Please help me! Answered by Penny Nom. 





The outside surface area of a U shaped tube 
20100603 

From Adolfo: What is the formula for calculating the outside surface area of a U shaped tube? Answered by Robert Dawson. 





A cylindrical vessel with belled ends 
20100601 

From George: surface area of a vessel with a cylindrical length of 60 feet, a diameter of 10 feet, and with belled ends of 5foot radius Answered by Penny Nom. 





How wide a strip has he cut when the lawn is half mowed? 
20100524 

From Arib: rectangular lawn has length 40 m and width 30 m. David starts cutting from the outside in. How wide a strip has he cut when the lawn is half mowed? Answered by Penny Nom. 





The area of a triangle 
20100522 

From jose: haw many square feet are in a triangle 30 feet high with a 100 ft base? Answered by Tyler Wood. 





How many sq. ft in 2 1/2 ft x 2 1/2 ft? 
20100516 

From jim: how many sq. ft in 2 1/2 ft x 2 1/2 ft Answered by Penny Nom. 





The area of a triangle 
20100510 

From Saeed: Show that:
Area of triangle = half of the perimeter of the triangle times
the radius of the inscribed circle !!!!!!!!!!!!!!! Answered by Penny Nom. 





Painting a hemispheric dome 
20100509 

From Jone: If a hemispheric dome has a height of 20m and it take 5 gallons of paint
to paint the floor, how many gallons of pain are needed to paint the
inside of the dome? Answered by Penny Nom. 





A circle inscribed in a square inscribed in a circle 
20100428 

From jouniella: A square is inscribe to the first circle, then another circle is inscribe to the square. Find the ratio of the 2 circles. Answered by Penny Nom. 





Rolls of sod 
20100427 

From judy: My yard is 35 feet by 29 feet. I want to put sod on the entire yard.
The rolls of sod are 9 square feet. How many rolls of sod will I
to complete the job? Answered by Penny Nom. 





The area of semi circle 
20100416 

From sagir: how to find the area of semi circle? Answered by Penny Nom. 





The area of a field of view 
20100407 

From Frank: I know we have a field of view of 90 degrees and the distance we can cover is 6 miles. What is the area we can cover/view?
A formula would be nice to have since the diameter or distance of the wedge area can change and the degree of the field of view can also change.
Thank you and I look forward to hearing from you.
Frank Answered by Penny Nom. 





An isosceles trapezoid is inscribed in a circle 
20100406 

From Abby: An isosceles trapezoid whose bases have lengths 12 and 16 is inscribed in a circle of radius 10. The center of the circle lies in the interior of the trapezoid. Find the area of the trapezoid Answered by Penny Nom. 





Pyramids and parallelograms 
20100401 

From Vivi: Hi, my name is Vivi, and math teacher is giving a geometry test. I tend to forget how to find the surface area and volume of triangular pyramids and parallelograms. Do you have a way of remembering how to find the surface area? Answered by Harley Weston. 





The perimeter of a lake 
20100329 

From Bill: I am trying to figure out the approx. perimeter of a 22 acre lake. Can I solve this by calculating the sq. ft. in 22 acres and then take the square foot to find out the sides of a 22 acre square and then add the sides together to get the perimeter? Answered by Penny Nom. 





The area of a polygon 
20100328 

From John: Question from John, a student:
How do you find the area of a polygon with any given amount of sides? Answered by Harley Weston. 





A rectangle inscribed in a circle 
20100324 

From sadiq: here is the question,
in my mathematics book there is equation of the area of the rectangle
inscribed in a circle having equation x^2+y^2=a^2
and the area of rectangle is 4xy=4x(a^2b^2)^1/2
i don't know what is b but a is surely the radius
(i want the derivation for the area of rectangle). Answered by Harley Weston. 





The area of a hexagon 
20100323 

From Myya: What is the area of a hexagon with the radius of 10ft. Answered by Penny Nom. 





How many 20"X20" tiles do I need to cover 90 sq. ft? 
20100323 

From Karen: How many 20"X20" tiles do I need to cover 90 sq. ft. Answered by Penny Nom. 





Water in a culvert 
20100318 

From Chip: Hello,
I have a problem to which I know there must be an analytical solution  but as it has been 50 years since I studied math I can't remember quite how to do it!! I have a 12" round culvert in my yard that runs water all year. I would like to be able to calculate the flow through the culvert by measuring the depth of water flowing through and measuring the speed of the current. I can measure the depth and the speed, but I forget how to calculate the cross section of the flow. If you could help I would greatly appreciate it.
Thank you Answered by Penny Nom. 





Two overlapping circles 
20100307 

From Hayden: I have two circles of equal size. The radiuses of the circles are 30ft. The two circles are positioned 40ft apart and I need to find the area where they overlap. Answered by Harley Weston and Tyler Wood. 





The base area of rectangular prism 
20100305 

From Desiree: How do you find the base area of rectangular prism that has 4 cm by 4cm by 6cm ? Answered by Penny Nom. 





The dimensions of a rectangle 
20100303 

From Kirsten: A rectangle is twice as long as it is wide. Its area is 128 square meters. What are the dimensions of the rectangle? Answered by Tyler Wood. 





The area of a trapezoid 
20100301 

From mariah: the height of a trapezoid is 6 centimeters. one of the bases is three times the height, and other base is four times the height . find the area of the trapezoid Answered by Penny Nom. 





A dirt berm 
20100205 

From casey: My question is two fold. I want to build a dirt berm that is 95 feet long and 8 feet high which has a 45 degree angle on each side of the slope. My first question is how wide will the berm end up being? Second question is how many cubic yards of dirt will I need to get? Thanks! Answered by Harley Weston. 





A sector of a circle 
20100204 

From trisha: Given a circle with a radius of 6 inches. Find the area of the sector that is formed by an arc of 36 degrees. Round your answer to the nearest tenth of an inch. Answered by Penny Nom. 





The area of a hexagon 
20100201 

From Vicki: I need to find out the area of a hexagon (please explain thoroughly; I'm not the best at math) and why/how that particular formula works.
Also, it would be nice if there was an example question with a series of steps (as in not just finding the area and being given the information to do so) that involved both the perimeter and area of a hexagon. Answered by Robert Dawson and Harley Weston. 





Area in square meters 
20100120 

From Carla: A football field is 120 yd long and 50 yd wide. What is the area of the football field, in square meters? Answered by Penny Nom. 





The area of a sector 
20100107 

From angelkem: how do you get the area of the circle, the sector, the shaded sector, non shaded sector and its total area if the diameter is 20 cm and each area of the circle is 45 degrees? Answered by Penny Nom. 





The area of a trapezoid 
20100106 

From maureen: the question asks for the area of a trapezoid with parallel sides 5m and 6m and height of 2.5m
I have done it by dividing the trapezoid into 2 triangles and reach the same answer as my manual11.25 sq. m
My question...how would you illustrate this? I read this to mean to sets of parallel sides, which would mean it is a parallelogram and not a trapezoid.
Any suggestions? Answered by Robert Dawson. 





Cutting a square into four shapes 
20100105 

From Tracy: A square with a side of 4 ft needs to be cut into four shapes with the same area. can you find six different was to cut the square? Answered by Robert Dawson. 





The maximum area of a rectangle 
20100103 

From Mohammad: determine the maximum area of a rectangle with each perimeter to one decimal place?
a)100 cm b)72 m c)169 km d)143 mm Answered by Penny Nom. 





Write a function for the area in terms of x 
20100101 

From Almarie: Lauren has 40 feet of metal fencing material to fence three sides of a rectangular garden. A tall wooden fence serves as her fourth side. Write a function for the area of the garden A in terms of x, the width in feet. Answered by Penny Nom. 





A Lagoon, free form, inground swimming pool 
20091222 

From donna: What is the linear footage of a 14 x 23, Lagoon, free form, inground swimming pool? Answered by Robert Dawson. 





Houses on a triangular field 
20091218 

From Beth: Hi, this is the question i have to answer.
Planning permission has been granted to build houses on the triangular field in the diagram. The housing density permitted is 1 house for each 200m². Calculate how many houses can be built on this
Beth Answered by Robert Dawson. 





Maximizing the area of a rectangle 
20091217 

From rachel: A rectangular field is to be enclosed by 400m of fence. What dimensions will give a maximum area? Answered by Penny Nom. 





The triangle formed by the tangent and the coordinates axes 
20091123 

From Nirmala: Given that y=1/x, x is not equal to zero. Prove that the area of the triangle formed by the tangent and the coordinates axes is 2. Answered by Harley Weston. 





The base and height of a triangle are in the ratio of 3:2 
20091118 

From Mike: Find the base and height of a triangle using the ratio 3:2 and an area of 108 inches square. Is there a formula we need to use?
Thanks
Mike Answered by Penny Nom. 





A path around a pond 
20091031 

From adeniji: find the area of a concrete path 2m wide surrounding a circular pond 12m in diameter Answered by Penny Nom. 





How much fabric will I need? 
20091020 

From Coach Jones: I have a new ideal and need to know how much fabric will I need to order.
My design is 16'6" long, 10' wide and 24" tale. How much fabric will I need for the
Top, Bottom and the Walls?
Thanks
Coach Jones Answered by Penny Nom. 





Concentric circles 
20091014 

From maddy: Find the exact area of the region bounded by two concentric circles with radii 10 inches and 6 inches. Answered by Penny Nom. 





The area of a rectangle 
20091010 

From Ann: given a rectangle with sides a and 2a and diagonal d, find the area of the rectangle as a function of the diagonal,d Answered by Penny Nom. 





Surface area of a dome 
20090916 

From Charlie: Why is the calculation for the surface area of a domed tank less than the surface area of a flat top tank.
Using domed tank formula 2*pi*r(r(rdome ht) works out to be less surface area than a flat top tank area formula pi*r x r,
Shouldn't the dome have more surface area than the flat surface ? Answered by Harley Weston. 





An area problem 
20090830 

From Amber: Area of hexagon ABCDEF with the vertices (3,0) (7,0) (9,2) (7,4) (3,4) (1,0) Answered by Harley Weston. 





The area of a rectangle 
20090821 

From roxanne: the dimensions of the rectangle: 3x length and 4x width. What is the area of the rectangle in square units? Answered by Penny Nom. 





A 5 foot strip around a building 
20090820 

From Robert: I am having a problem at work that I am hoping someone can help me figure out. I have a pest control company and we are pretreating the soil for a new hospital being built. The company that we are working has asked to also treat a 5 foot strip around the entire building and for us to get paid we need to figure out what the square footage of this 5 foot strip around the building that we are treating. The structure being built is a hospital and as you can imagine the building has all kinds of nooks and offsets and even some of the wall are cruved more like a circle. I already know the square footage of the building itself because they gave us this information. The square footage of the building is 120,000 SqFt. I would greatly appreciate if someone can help me figure out the square footage of a 5 foot strip around a 120,000 SqFt building who's walls have a lot of insets and odd shapes. I don't if someone can figure out the square footage of the 5 foot strip with the information I gave. I would greatly appreciate any help that you can give me. I need this information for work because we charge for pretreatment of soil by the square footage of the area to be treated and I need this information so that I don't over charge the company we are working for or so I don't cheat myself either. Any and all help we be greatly appreciated because I don't know who else that can help me. Answered by Victoria West. 





Ms. Zoe's garden 
20090820 

From Carisa: Ms. Zoe has a few dilemmas. She plants a garden each yr. & last yr. the rabbits ate her tomato plants. She has limited space which is 8ft by 4ft. & wishes to maximize the space. Ms. Zoe is considering 3 possible shapes. Those shapes are a rectangle, a triangle, or a polygon. She needs to buy fencing materia to enclose the garden & wants to get the biggest bang for her money. Each tomatoe plant req. 4 sq.ft to so she needs to know the # of plants to purchase & also needs to how much fence to buy.
Basically I needs to know how to figure the perimeter & area for the polygon Answered by Robert Dawson and Harley Weston. 





Number of Concrete Blocks 
20090806 

From Simone: Hi there,
I have a quote to complete and I need to figure out the formula that will tell me how many concrete blocks I need to cover a certain area.
Blocks can either be 8in or 12in. The area that I am looking to cover with blocks is 30182 sq ft.
Thank you for your assistance. Answered by Janice Cotcher and Stephen La Rocque. 





A spherical dome 
20090803 

From Eric: I have recently been asked to resurface a dome sculpture for my local council but i'm having problems working out the area. Here are the dimensions.
The height of the dome is 3m from the ground to the top of the arc. The arc itself from the ground rising up to the 3m point and back down, is 10m. The dome is 7m wide from one side to the other through the centre, at ground level.
I hope there is enough detail here. It's been a long time since i was in a maths class.
Thank you, hope to here from you soon! Answered by Stephen La Rocque. 





Torricelli's trumpet 
20090729 

From Gary: I was reading about torricelli's trumpet which is described by the equation1/x which is then rotated around the x axis which results in a figure which looks like a trumpet. Now in order to find the volume the integral 1/x^2 dx is used which diverges when integrated so the volume is finite.However if you integrate 1/x dx which is the formula on the plane the answer diverges. Now if you took an infinite area then rotated it around the x axis shouldn't you get an infinite volume? Notice the area I am talking about is under the line 1/x not the surface area of the trumpet which is what the painters paradox is about What am I missing? Thanks Answered by Robert Dawson. 





A degreaser for a fish tank 
20090723 

From charlie: I have a tank that is 10 feet in diameter that I want to put floating degreaser in.The rate for the degreaser is 1/2 gallon per square foot of surface water.How do I figure out how many gallons I need? Answered by Penny Nom. 





Area under curve 
20090721 

From Morag: What is the area bounded by the curve y=X^2(2X) and the x axis between x=0 and x=2? Answered by Janice Cotcher. 





The lateral area of a cone 
20090715 

From ashley: What is the radius of a cone with the lateral area being 443.3 mm^2 and the slant height being 14.7 mm. Answered by Penny Nom. 





The surface area of a rectangular pyramid 
20090713 

From Shivani: What is the surface area of a rectangular pyramid with a length of 6 inches,
a width of 7 inches and a SLANT height of 4 inches. Answered by Penny Nom. 





The area of a triangle 
20090702 

From Rory: I'm trying to find the area of a triangle with points 2, 1; 4,1 and 7,4 Answered by Penny Nom. 





The surface area of a fire pit 
20090630 

From eric: whatw is the square footage of the inside wall of a fire pit 2 feet deep and five feet in diameter? I need to estimate both the floor and wall square footage to order bricks. Answered by Robert Dawson and Harley Weston. 





Finding Force When Pressure and Area Are Known 
20090625 

From chris: i need to calculate the force for a tube. given the follwing data.
pressure is 900 PSI
Tube is 6 m long by 1.5m Outside Diameter Answered by Janice Cotcher. 





The surface area of a tank 
20090625 

From Charles: I need to calculate the external wall and top sqft surface area of a tank 54ft od x 15ft high with a dome top 54ft od x 8ft high. Answered by Penny Nom. 





Thermal Expansion of Steel 
20090617 

From Ken: Hi there, We are rollforming steel roofsheeting in 65M lengths and the =
question of linear expansion has cropped up.I would like to know what =
the expansion rate of this sheet would be over a temperature rise of say =
40degree F.in mm per Meter or whatever the norm is. The sheet is 0.53mm =
thick and is 700mm in width,I hope this is sufficient info to enable you =
to do your calculation.Many thanks, in anticipation.
Ken Answered by Janice Cotcher. 





Unit Price 
20090608 

From MATTHEW: Question from Matt:
I quoted my customer $112.50 per 1,000 sheets per linear yards. My client said I was to high. I need to be at 18 cents per square inch. If I matched his 18 cents per square ines what would my linear yards per 1,000 sheets price be? It comes on a 12.5 inch roll. Answered by Janice Cotcher. 





Linear feet into Square feet 
20090604 

From Vickie: Hoe do I change 10 linear feet into square feet? Answered by Janice Cotcher. 





The Smythe family lot 
20090524 

From Shrima: We must determine the size of the lot. The Smythe family lot is 235ft
across the front and 212ft down the side and 254ft down the other side.
The sides of the lot are parallel to each other and perpendicular to the front.
The size of the lot is two dimensional measure therefore you need to find
the areaenclosed by the lot line.
Question:
What is the size of the Smythe lot including the unit? Answered by Penny Nom. 





Application of Derivatives of Trig Functions 
20090521 

From Alannah: I have a word problem from my Calculus textbook that I can't figure out.
Triangle ABC is inscribed in a semicircle with diameter BC=10cm. Find the value of angle B that produces the triangle of maximum area.
I am supposed to set up an equation for the area of the triangle A=b x h/2 using Trig functions based on angle B to represent the base and height but I'm not sure how to do this when the side length given is not the hypotenuse. Answered by Janice Cotcher. 





4 tan(360/(2n)) 
20090518 

From molly: in the formula to find the area of any regular polygon how do you figure out 4tan part of the formula Answered by Penny Nom. 





Finding Height of a Triangle Given Area and Base 
20090514 

From theodore: area of a triangle is 40 in ^2 and base is 4 in what is the height Answered by Robert Dawson. 





Area and perimeter 
20090507 

From Kelly: Why do objects w/ the same exterior linear feet have different interior sq ft? I.e. a 25x25 room has 625 sqft while a 20x30 room has only 600 sqft? I can visualize that by cutting and moving parts of the rectangle, you loose a 5x5 section, but I just can't get my head around why. Answered by Robert Dawson and Stephen La Rocque. 





Constructing a cube 
20090408 

From Jill: you have a sheet of cardboard that measures 9ft x 6ft. To make the entire sheet into a closed box tht is a perfect cube, what would be the surface area of the box? Answered by Robert Dawson. 





The perimeter of a pentagon 
20090407 

From Malysa: A pentagon has an area of 1400 cm squared. Determine its perimeter. Answered by Harley Weston. 





A triangle inside a trapezoid 
20090406 

From rohan: i have a diagram with a triangle inside a trapezoid.trapezoid is PQRS ,
PQ being the line above and RS THE LINE BELOW.The area of this is 12.
If RS is twice PQ what is the area of PQS. Answered by Penny Nom. 





An isosceles triangle 
20090326 

From sela: An isosceles triangle has two equal sides of length 10 cm. Theta is the
angle between two equal sides.
a) Express area of a triangle as a function of theta
b) If theta is increasing at a rate of 10 degrees/minute, how fast is area
changing at the instant theta=pi/3?
c) at what value of theta will the triangle have the maximum area?
Answered by Penny Nom. 





The base of a triangle 
20090325 

From yinna: how do I find the base of a triangle who's height is 2 times the base and the area is 9? Answered by Penny Nom. 





The diameter of a roll of plastic 
20090324 

From truong: hi. i have trouble to calculate the diameter of the plastic roll. the sheet is 765 m long and 0.8 mm to wrap around the core 400 mm in dia. please help me with the formula to calculate the dia of plastic roll, thanks in advance Answered by Harley Weston. 





The height of a triangle 
20090320 

From jon: hi,
my daughter has to find the height of a triangle her side are 174ft and
184ft and the area is11,500 ft squared.
thanks for the help
jon Answered by Penny Nom. 





Related rates 
20090314 

From Jeevitha: The side of an equilateral triangle decreases at the rate of 2 cm/s.
At what rate is the area decreasing when the area is 100cm^2? Answered by Stephen La Rocque. 





Area and perimeter 
20090311 

From Keith: My question I thought was simple until I couldn’t find an answer anywhere. I have a shape with lots of different curves and some straight lines. I know how many feet the perimeter is and that’s it. How am I able to find the square footage of an area if all I know is its perimeter length?
Thank you,
Keith Answered by Robert Dawson. 





The area of a 5sided lot 
20090302 

From Linda: I have a problem I'm hoping you can provide some help with. When I check the property information for our home on our District of North Vancouver website, it shows that our property is supposed to be 1146.99 Square Metres. Yet another property which has identical measurements is listed as having 1173.7 Square Metres. I would like to figure out who is correct. Answered by Harley Weston. 





A rectangular prism 
20090225 

From Christina: I am trying to find the area of the base of a rectangular prism where one cube=_1 cu in. The Answer is given in square inches. I also need the volume of the prism in cu in. For example length=3, w=2, h=5 Answered by Penny Nom. 





Surface area of a cube 
20090222 

From JOHNNIER: determine the surface area of a cube with volume 125 mm3, thank u very much Answered by Penny Nom. 





Surface area and scale factors 
20090221 

From tina: the surface area of a sphere is about 86 ft (2) find the surface area of a larger sphere that has a scale factor of 4 Answered by Penny Nom. 





The area between the xaxis and a curve 
20090218 

From Lauren: This is from a homework question I can't figure out.
Let R be the region in the fourth quadrant enclosed by the xaxis
and the curve y= x^2  2kx, where k > 0. If the area of the region R is 36
then what is the value of k? Answered by Robert Dawson. 





The surface area of a cube and rectangular prism 
20090216 

From Mhiko: how to derived the total surface area of a cube and rectangular prism using geoboard?? Answered by Robert Dawson. 





A semi circular room 
20090211 

From Taylor: being 450pi (the area of a semi circle)
how much money would it cost to lay carpet at $2.57 per foot???
if the area of a semi circular room is 450 pi ft
then what is the volume being that the diameter is 60 feet
and the ceiling is 16 feet tall Answered by Robert Dawson and Penny Nom. 





A goat in a square paddock 
20090210 

From lachlan: A farmer uses a rope to tether a goat to a pole at the corner of a square paddock. The length of one side of the square is 24m.
a) If the length of the rope is 12m,what % of the paddock can the goat reach? is the answer 19.62 %?
b) If the farmer wants the goat to be able to graze exactly half the area of the paddock, what length must the rope be? Answered by Penny Nom. 





Shapes 
20090129 

From Rana: I want to know about Circumference / Area / Volume of different shapes ie Circle , Oval , An Arc Trapezide etc Answered by Robert Dawson and Harley Weston. 





25,000 pounds of sheet metal 
20090127 

From JESSICA: I need to convert 25,000 lbs. of 32x48 sheet metal into total sq. feet. What would be my formula? Answered by Robert Dawson. 





Find area of the rectangle in terms of L. 
20090127 

From Arlen: The length of a rectangle is L. The width is 8 less than the length. Find area of the rectangle in terms of L. Answered by Penny Nom. 





The area of a triangle 
20090125 

From black: Explain how the formula for the area of a triangle can be determined by using the formula for the area of a parallelogram. Answered by Penny Nom. 





How fast is the visible surface of the earth decreasing? 
20090124 

From Ray: A dive bomber loss altitude at a rate of 400 mph. How fast is the visible surface of the earth decreasing when the bomber is one mile high? Answered by Harley Weston. 





Perimeters and scale factors 
20090124 

From dennis: I have this work that says how are the value of the ratios for the perimeters related to the scale factor? PLEASE HELP ME OUT Answered by Harley Weston. 





An integral from 1 to infinity 
20090124 

From Ray: Determine the area bounded by the xaxis and the curve y=1/(x^2) from x=1 to x=infinity.
A. 1.00
B. infinity
C. indeterminate
D. 2.00 Answered by Harley Weston. 





The height of a triangle 
20090120 

From ELEY: WHAT IS THE HEIGHT OF A TRIANGLE IF THE AREA IS 32.4 AND A BASE OF 6.75? Answered by Robert Dawson and Penny Nom. 





A triangle with sides of length 6 and 7 
20090120 

From bill: If I have a triangle with sides 6 and 7,
which of the following is a possible area?
The answers are 13 and 21, but not 24.
I know this is because of a possible range of heights,
but how do I calculate the range of heights?
This is an SAT question. Thanks Answered by Chris Fisher. 





The area of an isosceles triangle 
20090119 

From faris: how to calculate area of isosceles triangle with two angles of 45 degree and base of 6 Answered by Penny Nom. 





The area of a quadrilateral shape 
20090119 

From craig: how do u work out the area of a quadrilateral shape Answered by Robert Dawson. 





A stack of rectangles 
20090111 

From ashwani: Could you please advise the area of a rectangles pyramid.
There are 5 rectangles placed one above the other. The top most rectangle has length 2 cm and height 2 cm. The subsequent rectangles length is increased by 1 cm on both the sides, while the height of the 2nd and 3rd rectangle is 2cm each, while the 4th & 5th has a height of 3 cm each. Could you please let me know the the area of the figure and the formula to calculate Answered by Penny Nom. 





A wooden deck around a pool 
20090109 

From lupio: a 20' pool is surrounded by a 3' wood deck, find the amount of material needed for the project Answered by Robert Dawson and Penny Nom. 





An area of 64cm squared and a perimeter of 64 cm. 
20090107 

From Dale: i need to draw an object that has an area of 64cm squared and a perimeter of 64 cm. Can you help me out...... Answered by Robert Dawson. 





The area of a region bounded by two curves 
20090107 

From Rogerson: Find the area, S, enclosed by the given curve(s) and the given line.
y = x^2  x  1, y = x+2 Answered by Harley Weston. 





The volume and surface area of a sphere 
20090107 

From destini: the volume of a sphere is equal to its surface area. what is its radius Answered by Chris Fisher. 





The area enclosed by a curve and the xaxis 
20090104 

From Rogerson: Find the area, S, enclosed by the curve y = x^2 + 6x  5 and the xaxis in the interval 0≤x≤4. Answered by Harley Weston. 





The area of a region in the plane 
20090103 

From Rogerson: Find the area, S, of the shaded region enclosed by the given cureve, the given line and the xaxis.
y = x^2 + 1
line x = 2 Answered by Harley Weston. 





Two rectangular plots have the same area 
20081223 

From Jason: Two rectangular plots have the same area. The first has a perimeter of 40m while the second has a length 2m less than the first and a width 1m greater. Find the length and breadth of the first rectangle Answered by Stephen La Rocque. 





The area of a triangle 
20081223 

From ashiya: Hi,
I have attached figure of the triangle, Can you please help to find the area of Triangle ABC.
Thanks.
Ashiya Answered by Stephen La Rocque. 





A spill of oil on a flat surface 
20081219 

From Phillip: Hello, my question is: If I spilled 25 gallons of diesel fuel on a flat surface how much area would the spill cover?
How would I mathematically figure it out?
Thanks! Answered by Robert Dawson and Harley Weston. 





Integral of cos^2 X between pi/2 and 0 
20081218 

From Wanda: Integral or Area of cos^2 X between pi/2 and 0.
The answer that I got is pi/4. Is this correct? If not, how did you come up with your answer? Answered by Robert Dawson. 





Surface area of an irregular shape 
20081215 

From Patrick: An irregular shaped object (lets say a gold nugget, not smooth with
pockets) can have its volume determined by comparing its mass in
water.
Is there any method or means or anything that could be used to
determine the surface area of this shape? Whether that be theoretical
mathematical formula to using a special infrared technique,etc...
The problem I foresee is that the component parts cannot be divided
into smaller geometric shapes. I would propose an answer although I
don't know if it is a good one: A liquid material that dries superthin, but
has a very specific and easily determined volume/mass is coated over
the object. Measure the mass difference between the beginning sample
of fluid and the mass after the object has been coated. Then determine
the surface area of the same mass of fluid in a geometric shape.
Is this feasible? Answered by Robert Dawson. 





A rectangle with diagonal 8.5 inches 
20081214 

From nekasia: what is the area of a rectangle with a diagonal of 8.5 inches PLEASE SHOW WORK Answered by Penny Nom. 





The area of an isosceles triangle 
20081202 

From prateet: the area of an isosceles triangle is 60 sq cm and one of its equal sides is 13 cm. Find the base of the triangle. Answered by Penny. 





Draw an octagon with an area of 18 square centimeters 
20081202 

From Heidi: Draw an octagon with an area of 18 square centimeters Answered by Penny. 





A cereal box that has a volume of 12000cm^3 
20081124 

From William: Hi, I have this math question that says construct a ceral box that has a volume of 12000cm3 and the surface area of the box has to be between 3200cm2 and 400cm2, I found some dimensions that are 20 by 20 by 30 and it works, but when I attempt to make the box, or make a net I would need this hugh piece of paper/cardboard, which I don't have, is there an easier way to find different dimenshions so I dont need a hugh piece of paper to create a net easily? Because i've tried trial and error but it has taken to long and I cant find anything,else, thats resonable. Answered by Harley Weston. 





A triangle inscribed in a circle 
20081117 

From Wanda: I have the same question that you guys answered 20070302. I need more clarification. I UNDERSTAND how to get the radius=3, I get that it is an equilateral triangle so each vertex is 60 degrees, I get that area of triangle is 1/2 bh.
I DO NOT understand why we multiply area X 3 , or how to calculate the values of base and height. Please explain a little further. Thanks.
Wanda Answered by Penny Nom. 





A word problem about a regular pentagon 
20081116 

From Sandra: If the area of a regular pentagon is A=1.720a^2, in which a is one of the sides. Find the area of a regular pentagon with a side that measures 50cm. Answered by Chris Fisher and Penny Nom. 





Area of a Decagon 
20081115 

From preethi: what is the formulae of decagon? Answered by Janice Cotcher. 





A crosssectional area 
20081113 

From David: I am doing a science project examining the tensile strength of seaweed fronds. I need to calculate the crosssectional area from the major and minor diameters of the elliptical central axis of the seaweed frond. What formula would I use to get this.
The strength of the segments is expressed in terms of crosssectional area of the frond at the test site. Answered by Penny Nom. 





An odd shaped lot 
20081113 

From Janice: Hi I am attaching a survey of an odd shaped real estate lot. I am hoping
you can help me determine the acreage.
Janice Answered by Harley Weston. 





The cost of a steel plate 
20081105 

From Tammie: What is the formula to calculate the following:
I have a plate of steel that is 1/4" x 48" x 192" at a price of $15.23 per square foot
What is the formula to calculate the cost if I only use 1/4" x 471/4" x 681/8" of that steel plate? Answered by Penny Nom. 





The area of a trapezoid 
20081104 

From kelsey: The area of a trapezoid is approximately 150cm2...the length is 26 cm, the
weight is 5cm...what is the height????
(show me the work that you did so i can understand) Answered by Penny Nom. 





A goat tied to a rectangular barn 
20081102 

From Misty: If there is a goat tied to a rectangular barn on a 50 foot
lead and the barn is 20 feet by 20 feet (floor).
When the rope goes around the barn, what is the new
radius and How much of a circle can it make without hitting the barn or
overlapping area you've already found and What is that area? Answered by Stephen La Rocque. 





Area of a triangle 
20081022 

From Jia: I need to find 3 ways of finding the area of a triangle. I've already had one method down which is b x h and divided by 2. What other 2 ways can i find the area of a triangle? Answered by Chris Fisher. 





Scaling a logo 
20081020 

From Carl: Hello!
I hope that you can help me out here. I've been trying to figure this out for awhile now and can't come up with the answer logically.
I am a graphic designer by trade and need to figure out how large my client's logo should be.
The logo will need to be sized proportionally with the surface area of the page.
The logo will always be sized at 1.2938(w) x .75(h) on a letter size page (8.5 x 11).
My question is...
When you increase the size of the page (not always proportionally sized  dimensionally) how do figure out the NEW size of the logo.
I could have a page 20" x 40" or 30' x 4'... or ANY size really.
I believe I have the new surface area of the logo but can't find the new dimensions. Answered by Harley Weston. 





The area of a square 
20081020 

From Danny: Is it possible to use a circumference measurement to find the area of a square when all 4 corners have a 1.75" radius? Answered by Harley Weston. 





The area of a rug 
20081016 

From Natcha: How can I convert the Carpet Roll Size to Square Meters.
I have one Roll of carpet, (Quality is 2300 g/m2; 7 pitch/in, 9 rows/in; width: 2m) with dimension 0.5 m width and 4 m length. I needed to know that quantity of that Roll in Square Meters. Answered by Penny Nom. 





Area of a semicircle 
20081006 

From Benjamin: How do you find the area of a semicircle if the diameter is a variable. Answered by Penny Nom. 





The length of one side of a square 
20080928 

From Mela: The area of a square is 841cm².
What is the length of one side of the square?
What is its perimeter? Answered by Penny Nom. 





The area of an arched transom 
20080928 

From Ivan: What is the formula for figuring out the square footage of arched transom windows & doors? Answered by Harley Weston. 





The base of a triangle is twice its height 
20080926 

From carolyn: The length of the base of a triangle is twice its height. If the area od the triangle is 100 square kilometers, find the height. Answered by Penny Nom. 





The region between two circles 
20080924 

From Carol: Good day!
Here is a picture of the problem that we need to solve. (I send the picture through email.)
A small circle is inside a larger circle, the only given in the problem is the chord of the larger circle tangent to the smaller circle which measures 16cm. The question is, what is the area of the shaded region?
Can you answer this question? Thanks! :) Answered by Harley Weston. 





The area of a garden 
20080920 

From Hannah: How do you find the area of a semi circle when no measurement is given?
The question is find the area of the garden which is semi circular.
The measurements are 24m and 26m and the semi circle's height is 10m! Answered by Penny Nom. 





Making a mental picture from measurments 
20080916 

From hannah: I am writing an essay for an english class and we are supposed to make a mental picture for other readers.
I am writing about a fire that occured in 2003 that grew to be 61,776 acres.
To show a reader just how big that was i was wondering if it is possible to find out how many football fields
would be in 61,776 acres. Answered by Janice Cotcher. 





Finding the Side of an Octagon 
20080915 

From Nivra: I wondered how to find the wall length of an octagon shaped house from the square footage (1250 sq.ft.). Answered by Janice Cotcher. 





The area of a quadrilateral 
20080911 

From Mike: How do I find the area of a quadrilateral that has one sloped side? Answered by Penny Nom. 





Mowing a Lawn in Concentric Bands 
20080905 

From Mari: two kids are mowing half of their backyard which is rectangular with
dimensions 75 ft by 90 ft. The first kid starts mowing at a corner
gradually working his way toward the middle by mowing concentric
bands around the outside edges.If the mower cuts 3ft wide path,
at what point should the first kid stop and the second kid start mowing?
THANKS! Answered by Janice Cotcher. 





Half a circle 
20080904 

From brandon: what are the area and perimeter and area of half a circle?? Answered by Penny Nom. 





A triangle and an inscribed circle 
20080901 

From Nancy: I'm a computer programming student, and I'm supposed to figure out how to find the area of a circle inside a triangle if someone types in the length of each side of the triangle.
So, a user can type in any three numbers they want into the three "side length" boxes, and I have to find the area of the circle that would fit inside the triangle they create from those values.
So the circle can be any size, depending on the size and shape of the triangle the user creates. The circle has to touch all three sides of the triangle somewhere. Then, my program calculates the area of the triangle and thus the area of the circle. I just need to know how the circle would change depending on the length of each side of the triangle that the user puts in. Is there a way to find out how the circle's area is related to the triangle around it? Answered by Chris Fisher. 





The area of a triangle 
20080825 

From Beverly: What is the area of a triangle on a graph with the following points:
18,110
6, 110
12, 100 Answered by Penny Nom. 





Exterior square footage of a dome 
20080819 

From Richard: I have to gold leaf a dome with a circumference of 29'. What would the exterior square footage be? Answered by Penny Nom. 





The base of a triangle 
20080810 

From Mark: What is the formula I need to use to find the base of a triangle sail that is 16 feet high and has an area of 64 square feet. Answered by Stephen La Rocque and Penny Nom. 





Square miles 
20080806 

From Koni: I'm trying to figure out the distance our buses travel throughout our district to pick up students for school. How do you figure square miles?
If our district measures 6 1/2 miles wide and 2 3/4 miles deep, what is our total square miles? Answered by Penny Nom. 





Area of triangle formed by three tangent circles 
20080731 

From brian: Three circles with radii 3,4 and 5 touch each other. The circles are tangent to each other. What is the area of the triangle formed by the centers of the circles? Answered by Stephen La Rocque. 





Width of a Garden Path 
20080730 

From Erin: A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet? Answered by Janice Cotcher. 





Inscribed Rectangle 
20080730 

From Felicia: A rectangle whose base is twice its altitude is inscribed in a circle whose radius is 5 mm.
Find the area of the rectangle. Answered by Penny Nom. 





Lot size of a four sided lot 
20080730 

From JAMES: I'm trying to find out this lot
size in acres.
I looked at a bunch of your suggestions, but I guess
I'm not smart enough
to figure it out.. I have attached an image of the
lot, hopefully with
enough info. for you..
Thanks,
Jim Answered by Penny Nom. 





Constructing An Open Box 
20080723 

From Rita: An open box with a square base is needed to have a volume of 10 cubic feet.
(a) Express the amount A of material used to make such a box
as a function of the length x of a side of the square base.
(b) How much material is needed for a base 1 foot by 1 foot? Answered by Janice Cotcher. 





The area of a triangle  no height given 
20080712 

From phoenix: given triangle with angles 30,105 45 degrees. base = 2radical 2, no height given Answered by Penny Nom. 





The size of a pipe 
20080629 

From payal: hi , i want to know the area of a pipe with 63.5 mm diameter and 3718 mm height . can u pls help me Answered by Harley Weston. 





The area of a 5point star 
20080627 

From rebecca: Hello,
For a maths extension program i've been given the challenge of finding the area of a 5point star with each of the 10 outside edges being a length of 1.23cm
How might I go about finding the area for such a shape given only this piece of information?
Sincerely, Rebecca Answered by Janice Cotcher. 





A circle inscribed in a square acre 
20080619 

From Scott: Q'm trying to find out the sq footage of the corners of an acre. If an acre is 43,560 sq and if I have this right the surface area of the circumference is 1040 ft. what is the combined square footage of the 4 corners? Or the percentage the original acre? Answered by Harley Weston. 





A six pointed star 
20080619 

From Bree: Triangles ABC and DEF are equilateral triangles with the same side length of 12cm. The polygon at the centre of the star is a regular hexagon. What is the area of the hexagon? Justify your response.
The triangles are in a shape of a six pointed star with the hexagon in the middle. Answered by Penny Nom. 





A right prism with a square base 
20080613 

From Malik: Question from Malik:
A company wants to alter the dimension of container. The new container is in the shape of right prism equivalent to the current one.
The current container has height of 12cm and square base. The new container has also square base, but in the dimension base is increased by 3cm and height is decreased by 5cm.
if the cardboard is used to manufacture the new container, what area of cardboard is used to make new container? Answered by Penny Nom. 





If the arc is 75mm, what is the radius? 
20080612 

From malcolm: If the are is 75mm, what is the radius? Answered by Janice Cotcher and Harley Weston. 





The surface area of a lemon 
20080611 

From Susan: How would I find the surface area of a lemon Answered by Harley Weston. 





Two circles 
20080610 

From cey: the diameter of the larger circle is 20cm, and the smaller 10cm. what is the shaded area?? Answered by Janice Cotcher. 





How do i find the area of an irregular figure? 
20080610 

From DAVE: How do i find the area of an irregular figure? Answered by Penny Nom. 





An ellipse and circle with the same area 
20080609 

From Michael: The area of the ellipse if equal to the area of a circle with radius=40 ft.
Find the values of a and b using appropriate algebraic techniques, not basic math computations.
A=pi ab and satisfy the constraint a+b=100???? Answered by Penny Nom. 





The area of an octagon 
20080603 

From Jeanne: WHAT IS THE SQUARE FOOTAGE OF A 14 X 14 OCTAGON? Answered by Penny Nom. 





The area of a regular pentagon 
20080602 

From Jenna: I would like to know if there is a formula to find the area of a regular Pentagon that is not inscribed in a circle only apothem and side length are given. Answered by Penny Nom. 





The surface area of an "egg shaped" object 
20080528 

From Tom: How do you calculated the surface area of an "egg shaped" object (ovoid) ? Answered by Harley Weston. 





Ten acres 
20080525 

From RICHARD: hi, i am getting 10 acres of ground from a aunt which is going to be taken out of a 50 acre tract.both the north and south lines are 1320 feet long.i need to know how long the east and west lines will be to make the 10 acres and what the square footage will be for the 10 acres Answered by Harley Weston. 





A triangle and a square 
20080524 

From s: how to construct a triangle whose area is equal to the area of a given square? Answered by Penny Nom. 





The surface area of a cube 
20080524 

From cailtlin: hi.. if the surface area of a cube is 384 cm^2, how could i find the length of one edge? thank you Answered by Penny Nom. 





Double the the dimensions of a rectangle 
20080522 

From Destiny: Double the the dimensions of a rectangle that is 3 by 4 in. What is the area? Answered by Penny Nom. 





Covering the bottom of a pool 
20080521 

From Chris: I need to know how many sheets of 4 foot by 8 foot by 1 inch foam
I will need to cover the bottom of a 27 foot diameter pool? Thanks! Answered by JaniceCotcher. 





A weird shaped lot 
20080521 

From James: Need to find square foot of a residential lot on a culdesac. Weird triangular shape. Measurements : 126.18 170.08 138.2 48.4 Answered by Harley Weston. 





The area of a trapezoid 
20080515 

From Ashley: what is the formula for area of a trapezoid Answered by Penny Nom. 





What is the greatest area she can have for her garden? 
20080512 

From angie: Mary has 12 wood boards, each board is 1 yard long. She wants her garden to be shaped like a rectangle. What is the greatest area she can have for her garden? Answered by Penny Nom. 





The area of a regular hexagonal pyramid 
20080510 

From Kim: i need help finding the area of a regular hexagonal pyramid. Answered by Penny Nom. 





The area of a sector of a circle 
20080510 

From lupio: a problem asks for the area of a sector in a circle,no central angle,in circle is given only 5cm radius, three answers 1809035
can't find a way to start.Help Answered by Harley Weston. 





The surface area of a tank 
20080509 

From jack: i'm looking for the square footage of a tank that is 10'diameter x 23'high,floor,ceiling and walls Answered by Penny Nom. 





Surface area 
20080501 

From John: I am working with concrete and need some assistance please. I am trying to figure out what the surface space is for a one cubic foot that is four inches thick? Answered by Penny Nom. 





The ratio of their perimeters to two regular hexagons 
20080429 

From td: Two regular hexagons have areas of 54 square root of 3 and 150 square root of 3, what is the ratio of their perimeters? Answered by Stephen La Rocque. 





The diameter of a circle 
20080428 

From Mary: What is the diameter of a circle if the area is 132.7 square meters? I have tried the formula C=2 times pi radius and came up up 21.1. I also tried C = pi times d and came up with 42.26. The answer in the book says 13. How did they get this answer? Thank you for your help. Answered by Penny Nom. 





A circle inscribed in a triangle 
20080426 

From Amar: I have been given a circle inscribed in a triangle and have been told to prove that the ratio of the perimeter of the triangle to the circumference of the circle is the same as the ratio of the area of the triangle to the area of the circle. How would this be done? Answered by Stephen La Rocque and Walter Whiteley. 





Two intersecting circles 
20080417 

From Muhammad: Hi, how can we find the perimeter and area of the region common to two intersecting circles of radii 6 cm and 4 cm with centers 7 cm apart. Answered by Harley Weston. 





The area of an asphalt parking lot 
20080416 

From Lidia: An asphalt parking lot measures 100m x 500m. Calculate the area in square meters. Answered by Penny Nom. 





The area bounded by 3 curves 
20080413 

From Sabahat: Hi, I have enclosed a diagram.
The diagram shows the curve y=(2x5)4. The point P has coordinates (4,81) and the tangent to the curve at P meets the xaxis at Q.
Find the area of the region (shaded in the diagram) enclosed between the curve, PQ and the xaxis . (Please note that the equation y is read as y=2x 5 whole raise to power 4.) Answered by Stephen La Rocque. 





The maximum area of a pizza slice 
20080412 

From charles: A slice of pizza in the form of a sector of a circle has a perimeter of 24 inches. what value for the radius of the pizza makes the slice largest[when o is the central angle in radians, the area of the sector is given by A= r^20/2and the length on the circle is given by s=r0 Answered by Harley Weston. 





The area of a circle 
20080403 

From Norm: how to compute the square footage of a circle Answered by Penny Nom. 





Perimeter, area and diagonals of a rectangle 
20080403 

From jenea: I have to find the perimeter as well as the area of a rectangle when given the diagonals are 12 units long and they intersect at a 60 degree angle. how do i find both the area and perimeter; do i use the 30 60 90 triangle rule? Answered by Stephen La Rocque and Penny Nom. 





The area of an irregular pentagon 
20080402 

From shane: i Need to find out what this adds up to i have a diagram of a pentagon and all the shides are different how do i do this if the sides are 5100,7200,7200,7400,7400 Answered by Harley Weston. 





The rectangle with smallest perimeter 
20080401 

From nicole: when given an area,squares are the rectangles with the smallest perimeter write the length and width of the rectangle with the smallest perimeter Answered by Penny Nom. 





A rectangular prism 
20080331 

From Chanlie: i need need to find a rectangular prism with a total surface area of 210 units. Answered by Penny Nom. 





The area of an equilateral triangle 
20080328 

From ElizabethMorgan: I have a problem that reads:
Find the area of a triangle with sides of 4 cm. Find the height first.
This means that I have an equilateral triangle, and I need a formula
to calculate the height using the base, and the sides. Answered by Stephen La Rocque. 





The area of a rectangle 
20080325 

From Raphael: What is the area of rectangle that measures 7 yards by 23 yards Answered by Penny Nom. 





Circles and semicircles 
20080323 

From sally: Hi i am sally ,
i need to know what is the formula of :
Find perimeter and area of a semicircle ?
Find the area of a circle whose circumference ? Answered by Penny Nom. 





The area of the triangle with vertices (1,8), (1,1), and (5,1) 
20080323 

From jimmy: find the area of a triangle whose vertices are
(1,8), (1,1), and (5,1) Answered by Penny Nom. 





The area of a right triangle 
20080319 

From Tate: I need to find the area of a right triangle. I already know that the formula would be a squared + b squared = c squared. However, I only have the length of the hypotenuse and the base. Answered by Victoria West. 





The area of an equilateral triangle 
20080316 

From michael: my daughter has been given a task and I'm stuck too.
if an area of an equilateral triangle = 85cm squared
there are no other dimensions provided.
how do I calculate the length of each side ? please Answered by Penny Nom. 





The surface area of a cube and a cylinder 
20080316 

From sunday: I'm doing a unit assessment, and there is something I don't understand. Now in my textbook, it says that surface area for a cube is different from a cylinder. Surface area for a cylinder has two numbers, but surface area for a cube has 3 or more numbers. And plus, I can't figure out the volume for a cube because it only shows volume for a cylinder. So how do I get this right? Answered by Harley Weston. 





The area of a triangle 
20080314 

From Tara: Area of triangle is 4,018 square yards. Its base is 82 yards. What is its height? Thanks Answered by Stephen La Rocque. 





The length of a side of a square 
20080312 

From laura: if i had a square of 2.3 square meters what would its radius be?(in centimeters please) Answered by Penny Nom. 





A circle and a square 
20080312 

From mae: what are the formulas on getting the area of the square outside an inscribed circular region? Answered by Penny Nom. 





An incorrect Babylonian formula 
20080310 

From Martin: Given the area of an isosceles trapezoid is 150, that the difference of its bases is 5 (that is b1  b2 = 5), and that its equal sides are 10 greater than twothirds of the sum of its bases (that is, s1 = s2 = 2/3(b1 +b2) + 10
Solve the problem using an incorrect Babylonian formula for the area of a trapezoid A = (b1 + b2)/2 x (s1 + s2)/2 Find the length of the sides of the isosceles trapezoid. Answered by Penny Nom. 





Side lengths and area of a triangle 
20080308 

From angela: In the diagram of ABC the angle A is 65 the angle B is 70 and the side opposite vertex B is 7. Find the length of the side opposite vertex A and find the area of ABC Answered by Penny Nom. 





A fence around a rectangular region 
20080306 

From sharon: a farmer want to make a rectangular fence he has 750 feet of material . if the width is 95 feet what is the area of the rectangle Answered by Penny Nom. 





A new carpet 
20080228 

From Rhiannon: The Gatlins are buying a new carpet for their house. They need about
1,175 square feet of carpet. The carpet they buy is sold by the square yard.
Estimate the number of square yards of carpet they need. Do I use the
formula to find the volume or are? Answered by Penny Nom. 





Two regular pentagons 
20080227 

From Shirley: Regular pentagon QRSTU has a side length of 12 centimeters and an area of
248 square centimeters. Regular pentagon VWXYZ has a perimeter of 140
centimeters.
I need to find its area. Answered by Stephen La Rocque. 





The surface area of an ellipse 
20080225 

From paritosh: how is the surface area of a elliptical dome be calculated when the two diameters are 55 metres and 35 metres and the height of the structure is 13.4 mts? Answered by Harley Weston. 





The area of a right triangle 
20080218 

From ASHLEY: WHAT IS THE AREA OF A RIGHT TRIANGLE? WITH THE SHORT SIDE
BEING 16 AND THE HYPOTENUSE 20? Answered by Penny Nom. 





Two regions with equal area 
20080213 

From James: There is a line through the origin that divides the region bounded by the parabola y=3x5x^2 and the xaxis into two regions with equal area. What is the slope of that line? Answered by Harley Weston. 





Another goat problem 
20080213 

From jasmin: A farmer staked his goat at the corner of the barn 30 m long and 25 m wide so that the goat could eat the grass near the corner of the barn. He found that if the rope by which the goat was tied was lengthened by 10 m, the goat could graze over four times as much as the area. How long was the original rope, if in neither case it was as much as 25 m long? Answered by Stephen La Rocque. 





The area of a rectangle 
20080212 

From mark: The diagonal of a rectangle is 15cm, and the perimeter is 38cm. What is the area? It is possible to find the answer without finding the dimensions of the rectangle. Please help me and show as much of the problem as possible. Thank You Answered by Penny Nom. 





A triangle and its incenter 
20080211 

From Elle: In the figure, P is the incenter of triangle ABC, the radius of the inscribed circle is 6cm, and the perimeter of triange ABC is 38cm. What is the area of triangle ABC? Answered by Penny Nom. 





A three sided shape 
20080209 

From Tim: Question from Tim:
How would I calculate the area in square feet of a "triangle" with sides:
Base is 36 feet; height is 70 feet; and the thirs side is an arch (curve) of 77 feet. Answered by Harley Weston. 





Tiles on a basement floor 
20080131 

From ORIETTA: I have a basement 1000 sq ft I want to purchase tile that are 18x18inches
and they are charging 4.15 sq ft how much would it cost since I will need
less tiles to cover the area since it's not 12X12 Answered by Penny Nom. 





Determine the number of square inches for one piece of pie 
20080131 

From Annie: Ok i'm so lost it ain't even funny! HELP! Here's the question: A pie has a
radius of 7 inches and can be divided into 8 equal pieces. Determine the
number of square inches for one piece of pie. Explain your answer. Answered by Penny Nom. 





Crosssectional area of a fire hose 
20080127 

From Tom: My question is this I know the equations for the final answer but the book skips how to get to one section of the equation. Q=(a)(v)
A= The crosssectional area of the conduit in square feet (ft2). So if you have a 5 inch hose how do they get A=0.136 ft2 ? And I know the velocity already v= velocity in ft per second. Answered by Stephen La Rocque. 





Finding the area of an isosceles triangle given one angle and the inradius 
20080124 

From Saurabh: Given an isosceles Triangle, whose one angle is 120 and inradius is √3. So area of triangle is? Answered by Stephen La Rocque. 





A large concrete shape 
20080116 

From Keith: what is the cubic yards of an area that is not a perfect 1/4 circle?
The dimensions are 100ft. x 60ft. x 125ft. curcumferal arch x 3ft. depth? Answered by Stephen La Rocque. 





A 16 sided lot 
20080116 

From R: I am having a land of 16 irregular sides i know all the length of the sides how to calculate the
area of the land Answered by Harley Weston. 





The surface area of a hemisphere 
20080114 

From Nicholas: the surface area of a hemisphere is 1062 cm2. What is the radius? Answered by Penny Nom. 





The area of a sector of a circle 
20080111 

From Serenity: A denotes the area of a sector of a circle of radius r formed by the central angle theta.
Find the area A if r=10 meters and theta = 1/2 radians. Answered by Penny Nom. 





The area of a piece of property 
20080105 

From Greg: I need to know the area of a six sided piece of property. I sent a map by regular mail. Answered by Harley Weston. 





The height of a triangle 
20080104 

From Dara: The area of a triangle is 54m2. If its base is 5m, find its height. Answered by Penny Nom. 





The surface area of the rectangular solid 
20071230 

From Sara: For my math homework i found the volume of a rectangular solid whose deminsions were in feet and the numbers were 10 by 20 by 30
10 = hight
20 = short side base
30 = long side base
and now i have to find the surface area of the rectangular solid....
i know how to do this but i can't get the right answer
it should be 2,200 ft squared but i keep getting 13,00 feet squared Answered by Penny Nom. 





Circle area 
20071217 

From Marlena: Ok, i do not see how to get the area of circles! they give you the circumfrance
which is 43.96cm and then u have to find the radius and area. I got the area right
which was 7cm but then i got 21.98 for a area and the real answer was 150.39cm
What did i do wrong? Answered by Penny Nom. 





A triangle and a pentagon 
20071208 

From Olivia: A regular pentagon has an area of 800 square centimetres. What is the area of the triangle extended from one side of the pentagon? Answered by Stephen La Rocque. 





A portion of a circle 
20071207 

From Richard: please could you tell me the formula and answer to the following.
I have a circle portion with a radius of 150mm and an angle of 120 deg. If
an arc is drawn from one point to the other as the radii touch the circle
circumference, i need to know the area of the segment and the
formula to carry out the answer.
Many Thanks Answered by Penny Nom. 





Area = 1/2 ab SinC 
20071203 

From Eileen: Given: Acute triangle ABC, with a, b, c, being the respective opposite sides to angle A, angle B, angle C, and altitude, h, drawn from angle B to b.
Prove: The area of trianlge ABC=1/2abSin C Answered by Stephen La Rocque. 





The area of an octagon inscribed in a circle 
20071201 

From Harry: I need to find the area of an octagon in a circle. each point of the octagon touches the edge of the circle, and the circle's diameter = 4 cm. What is the area of the octagon Answered by Penny Nom. 





Square yards 
20071130 

From Chad: I need to convert 4,599 Cubic Yards to Square yards. The thickness is 10 inches. Is there a formula for this conversion.
Thanks, Answered by Penny Nom. 





The area of a triangle 
20071130 

From Kevin: if the base of the triangle is 13ft and the altitude is 6ft then what is the area, and how do we calculate this? Answered by Penny Nom. 





The area of a hexagon 
20071129 

From Kay: I need to find the area of a hexagon where each side is 400 ft. I also have to find how many acres that is. Answered by Penny Nom. 





The maximum area of a rectangle 
20071123 

From Christy: Question from Christy, a student:
Show that among all rectangles with an 8m perimeter, the one with the largest area is a square.
I know this is simple but I'm not sure if I'm doing it correctly. Here is what I did.
1. A = xy
2. 8 = 2x+2y
3. y = 4x
4. A = x(4x) = 4xx^2
Not sure what to do from this point because I don't know if its right. Answered by Harley Weston. 





Area of a 17sided lot 
20071121 

From Lynda: My uncle is wanting to buy this piece of land [a 17sided polygon] but we are questioning the acerage total. the measurements are [on the attached diagram]. Answered by Stephen La Rocque. 





A rectangle in an ellipse 
20071118 

From David: I need to find the max area of a rectangle inscribed in an ellipse with the equation
x^2+4y^2=4.. What I have so far is f(x,y)=4xy
g(x,y)=x^2+4y^24=0,
y=sqrtx^24/4
f'(x)=2x^2/sqrt4x^2+2(sqrt4+x^2).
What I need to know is how to finish the problem and find the actual mas area of the rectangle.
David Answered by Penny Nom. 





The areas of a rectangle and a triangle 
20071113 

From karen: hoe to calculate the shaded area of a triangle in a rectangle Answered by Penny Nom. 





Changing units and sizes of things 
20071108 

From Carol: volume of cube = 216 cubic inches how do I calculate cubic feet and calculate its surface area in square feet.
a rectangular box has dimensions of 3 x 6 x 15 how do I calculate surface area in square yards and calculate volume in cubic inches. if I double the dimensions how does it affect the volume Answered by Stephen La Rocque. 





The height and area of a triangle 
20071105 

From Daniella: I need the exact formulas to find the height, the area,the lenght of triangles... Answered by Penny Nom. 





The area of a regular pentagon 
20071101 

From sarah: i'm trying to find the area of a regular pentagon with 200m sides, ive split it into 5 triangles so i dont know either sizes of the lengths and i need to find the height!
how? Answered by Penny Nom. 





The base and height of a triangle triangle 
20071031 

From mike: How do you find the length of the base or the height of a triangle if the area is 30 square feet? Answered by Penny Nom. 





Measurements on a test tube 
20071030 

From Bruce: I figure that the surface area (SA) of a round bottom test tube
can be determined by the equation SA = 2pi*h*r
where r is the radius of the hemispheric bottom & column part, and
h is the height (h) at any point upwards from the bottommost portion
in the center of the tube.
I haven't been able to come up with an equation yet for the circumference
of such a test tube at any point upwards along the tube based
on the height in its center or on the distance along the outside
of the tube. Answered by Harley Weston. 





Area of a garden 
20071028 

From Megan: My dad and I are working on a math problem and we have to find an equation to represent the area of the garden.
The garden is a 45 by 45 garden. One side of the garden butts up against the house. Answered by Penny Nom. 





An equalateral triangle is 30 acres 
20071028 

From mike: If the area of an equilateral triangle is 30 acres, what is the length of each side in feet or miles? Answered by Penny Nom and Victoria West. 





Area of a triangle formed by three points on a graph 
20071026 

From Betty: My question is 'find the are of a triangle whose vertices have
coordinates (3,5),(6,5), and (4,10) Answered by Stephen La Rocque. 





The volume of a regular octagonal prism 
20071020 

From Chris: I am trying to figure out the volume of a regular octagonal prism, with side lengths of 4 inches. How do I do this? Answered by Penny Nom. 





A Farmer's pasture 
20071019 

From Jennifer: A Farmer's pasture measures 100 feet by 108 feet. Each cow needs 4 square yards of pasture to have enough grass.
How many Cows should the farmer put in this pasture?
If he builds a fence around the pasture 5 feet inside the edge, how much fencing would he need?
Does this change the number of cows that can be kept in the pasture?
If so, why ? Answered by Penny Nom. 





A triangular lot 
20071017 

From Brian: Seeking the square footage of a triangular property lot, dimensions are: 620 X 620X 720. Answered by Penny Nom and Melanie Tyrer. 





Surface area of an openended cone 
20071016 

From Lorne: What is the surface area of an open ended cone? Measured at 10' high,
16' diameter on the bottom and 2' diameter at the top. Answered by Stephen La Rocque. 





Four triangles in a square 
20071015 

From Kristina: A square with side lengths of 6 cm is divided into 3 right triangles and a larger isosceles triangle. If the three right triangles have equal area, find the exact area of the isosceles triangle. Answered by Stephen La Rocque. 





Area of a quadrilateral 
20071010 

From Courtney: how would i find the area of a quadrilateral..
the sides are a (/) is 6cm, b (—) is 9 cm, and c (\) is 7 cm..
the angle between a and b is 140 degrees and b and c is 115 degrees.. Answered by Stephen La Rocque. 





Area and side length of a hexagonal tent 
20071009 

From Mark: Trying to buy a tent with 6 sides, in the catalog they give me sq. ft., what is the distance from side to side of a hexagonal tent with an area of 90 sq. ft. Answered by Stephen La Rocque. 





Triangle perimeter and area 
20071005 

From divakar: The sides of the triangle are integers. The perimeter is 8. What is the area? Answered by Stephen La Rocque. 





What is the total surface area of a cylinder? 
20071003 

From MATT: what is the total surface area of a cylinder with outside diameter 40 cm. thickness 10cm. and length 2m. Work in cm^2 Answered by Stephen La Rocque. 





Find the area of the traingle 
20071002 

From Indrajit: The perimeter of a triangle is equal to the perimeter of a semicircle of
radius 35 cm.The ratio of the triangles is 5:6:7.
Find the area of the triangle?
[pie = 22/7] Answered by Stephen La Rocque. 





Dividing the surface of a sphere 
20070930 

From Jaroslaw: Is there a formula or method to divide the surface area of a sphere into equal parts. For example; 36 equal parts, 60 equal parts or 92 equal parts and so forth. Answered by Chris Fisher and Stephen La Rocque. 





The area of a roof 
20070927 

From RANDY: I have an area of roof. It's in a sort of triangle.
it's 25' across the top
30' at each edge
86' across the bottom Answered by Stephen La Rocque. 





A piece of wire is bent in the form of a circle 
20070924 

From Renece: a piece of wire is bent in the form of a circle and it encloses an area of 154cm
a) calculate the radius of the circle
b) the circumference of the circle
use 22/7
The same piece of wire is then bent into a square
d) calculate the area enclosed by the square. Answered by Penny Nom. 





Area of an irregular lot 
20070920 

From Joanne: I found your web site through ask.com & it's great. Really hoping you can help me. We are looking at purchasing an existing home with a lot size that is advertised at 2.04 acres, however, even with my limited math skills I know this is not correct.
Their calculation takes the deepest part of the lost (179 feet) multiplied by the widest part of the lost (497.26 feet) as if it was a perfect rectangle. As you can see from the faxed diagram it is far from rectangular in shape.
Can you advise as to the true lot size? As I mentioned we are looking at this property as a purchase so time is of the essence.
I have also faxed this information (with the diagram) to the number listed on your web site. Thank you so much for your help. Answered by Harley Weston. 





The area of half a circle 
20070914 

From Heather: We need the formula for area of half circle please explain where each number comes from. Answered by Penny Nom. 





An irregular lot 
20070912 

From Jay: How do I calculate the area of the following Lot?
N 15 degrees 1 minute 22 seconds E for 182.2 feet
S 89 degrees 46 minutes 26 seconds E for 218.4 feet
N 51 degrees 16 minutes 21 seconds E for for 307.1 feet
L= 31.63 feet with a radius of 50 feet
There is a discrepancy between county records and what the landowner is telling me Answered by Stephen la rocque and Harley Weston. 





Find the area between (4,0) (2,0) (2,6) 
20070911 

From sabrina: Find the area between (4,0) (2,0) (2,6) Answered by Penny Nom. 





The area of a circle knowing only the length of a chord 
20070905 

From James: I need some help in the right directions with a problem. I was presented with a problem where I need to find the area of a circle knowing only the length of a chord.
the is a circle in the center of a larger circle (which the size of either could change) the only thing that matter is that the chord is 100 ft long and rests on top of the smaller circle. Answered by Stephen la Rocque and Brennan Yaremko. 





A rectangular sheet of paper is folded along the diagonal 
20070901 

From Amit: A rectangular sheet of a paper with dimensions a and b is folded
along its diagonal. What is the area of the overlapped region? Answered by Harley Weston. 





Is there a way I can calculate correct square footage for odd shapes? 
20070831 

From Tom: I manage a golf course, and we are about to over seed the course for the upcoming winter months. We will be over seeding all greens, fairways, and tee boxes. Noone of the area that we will be placing seed on is a regular shape. The closest shapes they would be is a circle, rectangle or square, but most of them are all odd CURVED shapes. I know what the equation is for Square ft., and I know how many Square ft. are in an acre, but I need to be precise with the amount of seed I order. Is there a way I can calculate correct square footage for odd shapes. Answered by Harley Weston. 





The surface area of a prism 
20070821 

From Iliyas: State the area of prism with logical proof? Answered by Penny Nom. 





The area of a five sided lot 
20070819 

From Karyn: I have been looking at your site, but I am still confused as to how to
figure out the exact square footage of my irregular lot (since it is a gradual fan
lot from the front, and triangles out in the back). Answered by Harley Weston. 





Area and perimeter 
20070816 

From sheryl: a 50*70 horse pen is 240 feet and 3500 square feet
a 60*60 horse pen is 240 feet and 3600 square feet
why is there a 100 square feet difference? Answered by Penny Nom. 





Finding the perimeter when you know the area 
20070815 

From Lynne: If a lot's area size is 17,642 square feet, how do I figure the perimeter? Answered by Stephen La Rocque. 





The area and perimeter of a rectangle 
20070815 

From Brooklyn: Is there a way to find the perimeter of a rectangle if you have the area, or vice versa? If so, what is the equation? Answered by Leeanne Boehm and Penny Nom. 





How many square meters are there? 
20070813 

From jane: if a room is 4meters by 5meters,how many square meters are there? Answered by Penny Nom. 





Find the dimensions of the rectangle that will contain the greatest area 
20070806 

From Julirose: The perimeter of a rectangle is 38 meters. Find the dimensions of the rectangle that will contain the greatest area. Answered by Penny Nom. 





The volume of a hexagonal pyramid 
20070805 

From monica: what is the volume of a hexagon when the base of one triangle is 6cm and has the height of 5.1cm the height of the regular hexagonal pyramid is 18cm? Answered by Penny Nom. 





Find the area of a regular pentagon inscribed in a circle 
20070803 

From Tracy: Can you please help me with finding the area of a regular pentagon inscribed in a circle using the Pythagorean theorem. The radius of the circle is 5 cm and each side AB = BC = CD = DE = EA = 6 cm. Answered by Stephen La Rocque, Leeanne Boehm and Chris Fisher. 





Subdividing a property into half acre parcels 
20070731 

From Pamela: We need to divide a large property with five sides and strange angles into 1/2 acre parcels from the top down. We want to know where along the eastern and western borders of the large property to make the divisions. Answered by Stephen La Rocque. 





Area of a star in a regular pentagon with side length 10cm 
20070724 

From Chetna: A regular pentagon with side 10 cm has a star drawn within (the vertices match).
What is the area of the star? Answered by Stephen La Rocque. 





Calculating the area (acreage) of a four sided lot 
20070718 

From A property owner: I have a real estate property and the lot size is something I need to find out. I know the lengths of the four sides, but it isn't a rectangle, it is an odd shape. How do I find the acreage? Answered by Stephen La Rocque. 





The area of a triangular pyramid 
20070718 

From Jhezelle: What is the formula of finding the surface area of a triangular pyramid? Answered by Penny Nom. 





The area of a property 
20070717 

From Mary: I currently have an opportunity to sell my property to a business and they would like me to send a proposal to them with details.
I need to know the square footage of my property and have tried using your formula from similar questions. The dimensions of my property are as follows
front line facing street: 19.908 m
right side : 37.338 m
back line : 29.779 m
left side : 43.983m
The front line and the right side are at right angles to each other. Can you formulate and reply? Thank you Mary Answered by Harley Weston. 





Finding the area of a circle from its circumference 
20070716 

From Amanda: what is the area of a circle with a circumference of 3000 metres? Answered by Stephen La Rocque. 





Comparing flow rates of two pipes 
20070714 

From Kenneth: If two water pipes are 3 feet long, but one of them has a 1 foot diameter and the second has a 1 1/2 foot diameter, what simple mathematical method can be used to determine how much faster one pipe can drain water than the other pipe? Answered by Stephen La Rocque. 





Surface area of a coin 
20070705 

From Anne: Assuming both sides of a coin are identical, and a line tangent to the inner circle is 23 mm from edge to edge of the coin, and excluding the edge of the coin in the calculation, what is the surface area of the coin, in square millimetres? Answered by Stephen La Rocque. 





Using calculus to prove the formula for the area of a triangle 
20070704 

From Apratim: Using calculus how can one show that the area of any triangle is 1/2 times its base times its height? Answered by Stephen La Rocque. 





An irregular hexagon 
20070703 

From Rebecca: I need to find the shape of an irregular hexagon, but only have the lengths four of the sides.
It actually looks like a rectangle with a trapezoid on top of it.
The bottom of the rectangle is 150'. The sides are 75'. The length of the top is 130'. I do not have the lengths
of the two smaller sides.
Is there any way to find the area of this shape? Answered by Penny Nom. 





Using Heron's Formula to help maximize the area of a triangle 
20070627 

From Claire: Given one side of a triangle is 4 cm and the ratio 1:3 for the other 2 sides. What is the largest area of the triangle? Answered by Stephen La Rocque and Harley Weston. 





The area of an irregular polygon 
20070627 

From chris: finding square footage of a polygon with unequal measurements Answered by Stephen La Rocque and Harley Weston. 





A cubic yard of gravel 
20070624 

From Duncan: I'm trying to figure out how much area 1 cubic yard of gravel would cover at a depth of 2 inches? I've asked around and have many different answers. Answered by Stephen La Rocque. 





Volume in a triangular water trough 
20070624 

From David: A water trough has sloping sides of length 500mm making it triangular in cross section, with vertical ends. The width at the top is 600mm and the length is 2.0 metres.
(i) Calculate the capacity of the trough, giving your answer accurate to the nearest litre.
(ii) Find out the depth of the water when the trough is half full. Answered by Stephen La Rocque. 





The area of part of a circle 
20070621 

From Sarah: Hi, I need help finding the area of a part of a circle that involves a
chord. I need this answer/help very soon if at all possible. I have
attached a drawing of what I am trying to solve. Thank you for your help!
Sarah! Answered by Penny Nom. 





Area of a circular garden 
20070618 

From Cynthia: Hi is this the correct formula for this problem?
What is the approximate area of a circular garden that is 20 feet in
diameters? Answered by Stephen La Rocque. 





Isoperimetric area comparison 
20070617 

From michael: An equilateral triangle and a regular hexagon have equal perimeters. If the area of the triangle 10, what is the area of the hexagon? Answered by Stephen La Rocque. 





Circumscribing a golden cuboid with a sphere: surface areas 
20070614 

From Ainslie: A golden cuboid is defined as a rectangular prism whose length, width and height are in the ratio of phi : 1 : 1/phi.
Prove that the ratio of the Surface Areas of the golden cuboid to that of the sphere that circumscribes it is Phi : Pi. Answered by Stephen La Rocque. 





The size of a lot 
20070613 

From Larry: This is driving me crazy, I know i learned this in college but that was so many years ago haha. I am trying to determine how many acres
my property is. Unfortunately everywhere i look is like another language to me when seeing these formulas. My property is square shaped
so starting from one side and just working around the dimensions are: 114 feet x 95.88 feet x 100 feet x 91.91 feet. Answered by Penny Nom. 





The area of a quadrilateral 
20070610 

From Lucy: Calculate the area of the quadrilateral ABCD.
AB= 4.1cm, BC = 7.6cm, AD= 5.4 cm, CD= ?
Angle ABC = 117, Angle ADC = 62.
Give your answer correct to 3 significant figures. Answered by Stephen La Rocque and Penny Nom. 





The area of equilateral triangle 
20070605 

From solomon: describe the area of equilateral triangle in terms of its side? solve in two ways. Answered by Stephen La Rocque. 





Finding the area of a lot without knowing the angles 
20070605 

From Cristin: I have a landlocked piece of land. I need to know the square
footage in order to determine the acreage. My deed only gives the lengths of its five sides. Answered by Stephen La Rocque. 





A circle and polygon with equal perimeters 
20070605 

From matthew: Why does a circle have the largest area of any polygon when the perimeter is always 1000m for every polygon? Answered by Stephen La Rocque and Penny Nom. 





Area of an isosceles triangle 
20070601 

From Josh: In a previous question answered by Sue regarding the area of a regular polygon you gave a formula for the area of an isosceles. My question is how did you get this formula? Can you please explain to mean the process that you used to get that formula?
Thanks Answered by Stephen La Rocque. 





Water tank volume 
20070529 

From Cecelia: I HAVE A SEMI CIRCULAR TANK AGAINST A WALL MEASURING 6'10" ACROSS THE WIDEST PART AND 3' FROM THE WALL TO THE FRONT OF THE TANK. THE DEPTH IS 14". PLEASE HELP ME TO CALCULATE THE VOLUME OF WATER IN THE TANK. Answered by Stephen La Rocque. 





The surface area of a fire hose 
20070526 

From Vanessa: Why do we need to find the surface area of a fire hose (cylinder). Answered by Stephen La Rocque. 





Area of a hexagon (three ways to find it) 
20070524 

From Josh: I have to work out the area of a hexagon when I know that the perimeter
of it is 1000m. I have tried many different ways but I get different
answers. Answered by Stephen La Rocque. 





Lot acreage 
20070521 

From Sherri: I have a lot that is 2565 x 1056 x 2636 x 285 that is roughly in the shape of a triangle, with the small strip on the top of the triangle, that I would like to figure the sq. footage for. Could I draw a line from one corner on the top to the opposite corner on the bottom and get the area of those two triangles, then add that together to come up with the sq. ft.? Answered by Stephen La Rocque. 





Areas of polygons 
20070520 

From kendra: i have questions on how to find the area of pentagons, hexagons, and nonagons.
i was asked to find the area of all of them and they gave me either the length of one side or the perimeter. Answered by Stephen La Rocque. 





Lateral area of a right cone 
20070517 

From Crystal: In my homework the question says the lateral area of a right cone is 226.08 cm cubed.
the slant hieght is 12 cm. Find the total surface area. How do I do that? Answered by Stephen La Rocque. 





Comparing the areas of various shapes 
20070516 

From Kathy: If the perimeters are the same, which has the greater area, a circle, a square, an ellipse, or an octagon? Answered by Stephen La Rocque. 





Surface area of a cylinder 
20070513 

From Nina: if a cylinder is 23 ft high with a 12 ft radius, how do I find the surface area? Answered by Penny Nom. 





An octagonal sign 
20070513 

From Cathy: An octagonal sign is made by cutting four identical triangles made from a rectangle calculate area of one of the discarded triangles. length of square=26cmx22cm. length of octagonal sides are 10cm x 13cm Answered by Penny Nom. 





Area of a pentagonal lot 
20070509 

From Mimi: I would like to know the square footage of a pentagon with the
following measurements:
Property is .43 of an Acre
Front: 57.11'
NW: 105.78'
S: 120'
SE: 145'
E: 102.86'
I don't want you to try to show me how to work thru the problem since
I will never comprehend it. For some reason, I am unable to perform these
kinds of equations. I will greatly appreciate your help. Answered by Penny Nom. 





Area of irregular surfaces 
20070509 

From Dustan: I am working on a way to compute very accurate
areas for irregular surfaces by using the idea of a largest possible circle... Answered by Chris Fisher. 





Area of an equilateral triangle 
20070509 

From Diana: how do i find the area of an equilateral triangle when they give us the base? Answered by Penny Nom. 





Area and a squarebased pyramid 
20070508 

From Nick: For a regular square pyramid with base perimeter 40 and slant height 50, what is the lateral and surface areas? Answered by Stephen La Rocque. 





Area of region between circle and inscribed octagon 
20070507 

From amy: I have to find the area of the shaded region where there is an octagon inscribed in a circle
The radius is 4 inches. The shaded region is everything besides the octagon inside the circle.
How can I find the area of the shaded region?
Thank you! Answered by Stephen La Rocque. 





Square footage of a lot 
20070503 

From Linda: I have two lots which I am trying to calcuate the square footage of
one lot is 50 x 285.72 x 50 x 270
2nd lot is 50 x 285.72 x 50 x 277.61
Any help would be appreciated. The answers would be GREATLY
appreciated. Answered by Penny Nom. 





Maximum area 
20070429 

From fee: Given a perimeter of 24cm, calculate the maximum area using quadratics. Answered by Penny Nom. 





The area of a pyramid 
20070428 

From Alexander: Total area of the plate required to fabricate a vessel(pyramid) the base is 0.6mx0.6m and height of 1.0m. Answered by Stephen La Rocque. 





The area of a hexagon 
20070426 

From Amber: could you explain how to find the area of a hexagon? Answered by Stephen La Rocque. 





0.68 acres 
20070424 

From Tina: What shape would an 0.68 acre parcel have to be, if you were going to make is as straight as possible? Answered by Penny Nom. 





The area of a regular octagon 
20070417 

From Adam: I need to find the area of a regular octagon with side length of 12.5m Answered by Penny Nom. 





The area of a heptagon 
20070414 

From Chantel: Would you be able to tell me the formula to work out the area of a
heptagon? thank you. Answered by Stephen La Rocque. 





Surface area of a sphere 
20070408 

From maria: I've read your solution to the problem of how to derive the formula of the surface area of the sphere.
But i've got a question that initially you demenstrate the area is apprximately equal to that of the lateral area of the cylinder.
Afterwards you simply say that the two areas are exactly equal. I'm very confused, how you connect your two statements together.
Can you explain to me how they are exactly equal? Your quick reply would be appreciated. Thanks for your help! Answered by Stephen La Rocque. 





The area of a parcel of land 
20070403 

From Ricky: I need the attached land parcel (#0436) converted to acreage.
This would be of great help to me.
Thanks,
Ricky Answered by Penny Nom. 





An octagonal box 
20070331 

From eddie: I need to make one wood box in octagon type, that has 1125.00 square feet.
I want to know how many feet in one side Answered by Penny Nom. 





5 square metres 
20070328 

From Allan: please confirm if an area of 5 square metres is different from 5m^2 (5metres squared) Answered by Penny Nom. 





The area of an irregular pentagon 
20070326 

From grace: hi I am doing graphics and need to find the area of the section given to us (it is just drawn). the sides measure 15m, 35.4m, 5m, 17.8m, 35.7m. the angle between the 15m side and the 35.4m side is 17degrees, the angle between the 35.4m side and the 5m side is 73degrees. the angle between the 5m side and the 17.8m side is 151degrees, the angle between the 17.8m side and the 35.7m side is 90degrees and the angle between the 35.7m side and the 15m side is 95degrees. if you could tell me the area i would be extremely grateful. thanks very much. Answered by Penny Nom. 





Inscribed square in inscribed circle 
20070325 

From Confuzzled: "The largest possible circle is drawn inside a square. Then the largest possible square is drawn inside this circle. What is the area of the inner square as a fraction of the area of the outer square?"
This is a question from the Grade 8 Gauss contest and I don't know how to work it out without drawing it. My teacher says it's possible but I still don't get it. Please help!!! Answered by Stephen La Rocque. 





Painting a pool 
20070325 

From vincent: Determine the total cost to put 2 coats of paint on the interior pool
and amount of water needed to fill pool
facts:
a gallon of paint will cover 50 square feet and cost $18.00
the pool will be filled when water is leveled 6" from the top of pool
there are approximately 7.48 gallons of water per cubic foot
Rectangle shape pool 36.0 long and 20.0 wide from top Answered by Stephen La Rocque. 





A hexagon with an area of 36 
20070324 

From shell: the formula for a hexagon with the area of 36 or close to that Answered by Stephen La Rocque. 





What will our square footage size be after appropriation? 
20070317 

From Melissa: I have a rectangular lot of 110.0 feet by 396.0 feet. When we sell the District will take 2.38 meters off the front for appropriation. I believe we currently have a 1 acre lot? What will our sqaure footage size be after appropriation?
Thanks,
Melissa Answered by Penny Nom. 





The Geosphere at the the Epcot Center park 
20070316 

From stephanie: The epcot center has a diameter of 265 ft the park needs to paint the park one can will cover 400 sq ft how many cans do they need ? Answered by Stephen La Rocque. 





Conversion 
20070316 

From Andrew: If a lawn is 95.3 square yards, how do I convert that to square meters? Answered by Stephen La Rocque. 





Circles and chords 
20070315 

From Henry: Where do you place a chord in a circle such that it divides the area
of the circle 1/3 and 2/3? Also, what is the length of the chord? Answered by Stephen La Rocque. 





The area of a property 
20070314 

From Greg: Hi my name is Greg. I have a piece of property I am trying to buy,
but need to find out the square feet of it first.
The four sides are unequal lengths and none at a right angle or
parallel. Here are the measurement in feet.
The base of the square is 29.12 feet in width.
The right side of the square is 44.33 feet high.
The top of the square is 28.80 feet in width.
The left side of the square is 46.20 feet high.
I have not done this math in ages and really need your help. Answered by Harley Weston. 





Area of a fivepointed star 
20070305 

From Ashley: What is the area of a five pointed star inscribed in a circle with a radius of 10cm? Answered by Stephen La Rocque. 





The area of a decagon 
20070228 

From heather: how do i find the apothem and area of a decagon that has a perimeter of 60? Answered by Penny Nom. 





The lateral area of a cone 
20070227 

From Michael: Ive seen the other question about surface areas. I still don't understand the lateral area. In my math book, it has (pi * r * L) as the equation, r = radius and L = height of the cone. This is 8th grade math. Thanks. Answered by Penny Nom. 





Cutting the top off a circle 
20070225 

From Daniel: If a circle as a diameter of D I cut off a straight part at C from the top What is the formula to find the area of the left over part? Answered by Penny Nom. 





The area of an Lshaped polygon 
20070223 

From Louanne: How do I find the surface area of a L shaped polygon? Answered by Melanie Tyrer. 





Surface area of a triangular prism 
20070221 

From Katrina: What is the formula to finding the surface area of a triangular prism? Answered by Gabriel Potter. 





Find the area of the triangle 
20070220 

From Christina: Graph the function f(X)= x+1/x1 and graph the tangent line to the function at the points A:(2,3) and B:(1,0). The point of intersection of the two tangent lines is C. Find the area of the triangle ABC. Answered by Stephen La Rocque. 





The length of the side of a hexagon 
20070219 

From Nick: if the area of a regular hexagon is 259.807 how do i find the length of each side, and the apothem? thanks if you can help Answered by Penny Nom. 





The surface area of a hexagonal prism 
20070219 

From Cari: How do you find the surface area of a hexagonal prism? Thank you. Answered by Penny Nom. 





Surface Area of a cone 
20070219 

From Cari: I am doing a math project. I am very confused on how to find the surface area of a cone. I have looked at other equtions but i still don't understand. How do you find the surface area of a cone that has a 15cm length and a 3.5cm radius? Answered by Penny Nom. 





The area of a lot 
20070218 

From Steve: our land is four sided, but not the same length. We are doing a property line revision and the new measurements are, 479.46 by 715 by477.81 by 582. what will this give me in acreage. Answered by Harley Weston. 





Square centimeters 
20070212 

From Ivan: how many square centimeters are in a rectangle that is 210 centimeters long by 39 centimeters wide.? thank you Answered by Karen McIver and Melanie Tyrer. 





The surface area of a dome 
20070211 

From chris: I need to figure the surface area of a dome which is 96" across and 48" tall. Could you help please? Thanks! Answered by Penny Nom and Melanie Tyrer. 





The area for a pentagon 
20070209 

From nicole: how do you find the area for a pentagon Answered by Stephen La Rocque. 





Maximize the area of the yard 
20070208 

From Andy: I have 60 m to construct a fence adjacent to my house. What are the values of x and y that maximize the area of the yard? Answered by Penny Nom. 





Area of a rectangle 
20070207 

From kyle: paul has enough material to make a fence 22 feet long. he will use this material to fence of a rectangular section of his yard. the rectangles sides must all be whole numbers. i am having a hard time finding the greatest and the least area that he can enclose his fece Answered by Haley Ess. 





The perimeter and area of a right angled triangle 
20070131 

From Naveen: I need to calculate the area of a right angled triangle. However the measurements of the 3 sides is missing. All we are told is that the perimeter of the triangle is 1000cm. Answered by Penny Nom. 





The area of a ellipse 
20070125 

From Ranjit: I have a task in which i have to find the area of a ellipse. i find this difficult because i have only been provided with the perimeter, which is 1000m. Answered by Chris Fisher. 





Splitting a 5 acre piece of property 
20070125 

From John: I have a 5 acre piece of property that I wish to split into 5 individual 1 acre parcels. The 5 acre parcel 1s 660 feet in length and 330 feet in width. The first two parcels are 264'x165', but I am asking for help getting the perimeters of the last 3 lots, one of which is a irregular pentagon. All of the one acre parcels must have an area of 43,560 square feet each. Answered by Penny Nom. 





The square footage of a lot 
20070122 

From A parent: I HAVE A LOT THAT IS 50FT. BY 95.5 FEET HOW MANY SQ.FEET. Answered by Penny Nom. 





2000 acres 
20070122 

From Kyle: if you walked around around 2000 acres how many feet did you walk? Answered by Stephen La Rocque. 





The area of a scalene triangle 
20070120 

From Kalsi: I have a scalene triangle in which i have to find the area. Answered by Penny Nom. 





Irregular multi sided polygon 
20070120 

From Graham: I have an irregular polygon. I know the length of all the sides and know approximately all the internal angles. Is there a formula or table that can calculate the area for me? Answered by Steve La Rocque, Chris Fisher and Penny Nom. 





The area of an irregular pentagon 
20070118 

From Ranjit: I would like to find the area of an irregular pentagon where the total perimeter is 1000m. Is there a Heron's formula for this? Answered by Stephen La Rocque. 





How many acres of land in a piece of property 
20070117 

From Clinton: Trying to find out how many acres of land in a piece of property, measured the outside of the property and it was 3746 feet around it. Have any answer how many total acres? Answered by Penny Nom. 





How many acres do i have? 
20070109 

From Oscar: my property measure 1975 ft of length and 245ft wide how many acres do i have? Answered by Stephen La Rocque. 





An Octagon with area 10,000 square feet 
20070109 

From Christopher: how big would each side of an Octagon have to be to have approx 10,000 square feet on the inside Answered by Stephen La Rocque. 





Find the area of the rectangle 
20070109 

From Mike: The perimeter of a rectangle is 72 in. The base is 3 times the height. find the area of the rectangle? Answered by Penny Nom. 





How do I determine the length of an ellipse if the width and area are known? 
20070104 

From Tom: How do I determine the length of an ellipse if the width and area are known? Answered by Steve La Rocque and Karen McIver. 





How do the perimeters of the two pentagons compare? 
20070102 

From Robert: If the area of one pentagon is eightyone times the area of another pentagon, how do the perimeters of the two pentagons compare? Answered by Penny Nom. 





The square footage of an irregular lot 
20061207 

From Lori: If I have a rectangular irregular sized lot with the following:
A  110.53' B  159.87' C  127.28' D  165.86'
How do I determine the square footage? Answered by Penny Nom. 





The area of a hexagon 
20061204 

From Scott: can you tell me the formula to find the area of a hexagon? Answered by Stephen La Rocque. 





The area of a 20 sided polygon 
20061202 

From Kate: could you please tell me the strategy of how to work out the area of a 20 sided polygon Answered by Stephen La Rocque and Penny Nom. 





Area of a circle 
20061201 

From Lisa: i have 24m of fence how would i find out the area of a circle using this 24m of fence? Answered by Stephen La Rocque. 





The area of a semicircle 
20061125 

From Melinda: If the radius of a semicircle is 9ft what is the area? Answered by Karen McIver and Penny Nom. 





An Easement 
20061121 

From Ms Porter: I need to acquire a 20 feet easement for a project and I need to know how many square feet are in a 20 feet easement? Answered by Penny Nom. 





The square footage of 1.29 acres 
20061120 

From Steve: What is the approx. square footage of 1.29 acres? Answered by Penny Nom. 





The rate of change of the perimeter of a square 
20061107 

From Karli: Find the rate of change of the perimeter of a square with respect to its area. Answered by Stephen La Rocque. 





A 1/4 mile square 
20061102 

From Lisa: How many acres are in a 1/4 mile square area. Or what would be the perimeter in miles be for 40 acres? Answered by Penny Nom. 





The area of a quadrilateral 
20061031 

From Georgina: I would really like to know and be shown how to figure out the area of a quadrilateral. I already know that it is side x matching height but i need to be shown what to do. Could you please help? Answered by Penny Nom. 





The area of an irregular hexagon 
20061030 

From Ashish: I want to find out area of an irregular HEXAGON in square feet, whose sides are as follows, Answered by Stephen La Rocque. 





The surface area of a triangular prism? 
20061029 

From Amanda: What is the formula for the surface area of a triangular prism? Answered by Haley Ess. 





The area of a regular octagon 
20061022 

From Farhana: I have a regular octagon with sides of 0.8m and I need to find the area, Answered by Karen McIver and Penny Nom. 





A dome with a square base 
20061017 

From Danielle: I need to know how to calculate the area of a dome that has a square base. In order to insulate the room I need to find the area of it but I am not sure how to do so because there is no formula for domes with square bases. Basically, the floor has 4 corners but the ceiling is dome shaped starting directly from the floor. Answered by Stephen La Rocque and Penny Nom. 





How do you find the length and width of a rectangle if you know ... 
20061015 

From Anne: How do you find the length and width of a rectangle if you know the perimeter of the rectangle is 48 m and the area is 144 m squared? Answered by Stephen La Rocque and Penny Nom. 





The area of regular pentagon inscribed in a circle 
20061012 

From Admire: i need help on how to find area of regular pentagon inscribed in a circle of radius 8cm Answered by Stephen La Rocque and Penny Nom. 





The area of an oval 
20061008 

From Bruce: area of an oval: 60" x 120" Answered by Stephen La Rocque. 





The area of a circle 
20061002 

From A student: Calculate the area of a circle whose radius is 75 meters? Answered by Stephen La Rocque. 





The area of my hand 
20061002 

From Waikiki: is there a possible way for me to calculate the area of my hand (palm and fingers involved)? obviously it is curved and i can't find a way on how to solve it... Answered by Chris Fisher and Diane Hanson. 





The perimeter of an acre 
20060923 

From George: I am trying to figure out how many feet go around the perimeter of one acre of land for a fence. Answered by Stephen La Rocque and Penny Nom. 





How do I determine the acreage? 
20060920 

From Charlene: I have a survey of property with various points on it; how do I determine the acreage? Answered by Penny Nom. 





How large is the property? 
20060920 

From Jahn: a triangular lot has 750 feet on one side of a 90degree angle and 500 feet on the other side of the angle. how large is the property? Answered by Penny Nom. 





The square footage of my property 
20060917 

From Jack: I have been trying to calculate the square footage of my property, without success. The measurements are below.
Is there a simple formula that can be used based upon the outside parameters? Or, is there a simple way to calculate the square footage? Answered by Stephen La Rocque and Penny Nom. 





The area of a quadrilateral 
20060914 

From A student: How can i find the area of a quadrilateral? Answered by Penny Nom. 





How do you get 15 square units to make a perimeter 16 units? 
20060912 

From A student: How do you get 15 square units to make a perimeter 16 units? Answered by Stephen La Rocque and Penny Nom. 





The area of a rhombus 
20060910 

From Lillian: In a rhombus, each side is 14 in. long. Two of the sides form a 60 degree angle. Find the area of the rhombus. Round your answer to the nearest square inch. Answered by Stephen La Rocque. 





A hexagonal concrete form 
20060909 

From Lewis: How many cubic yards of cement will be required to fill a hexagonal concrete form with equal 12 foot sides that will be 3 feet thick? Answered by Penny Nom. 





The area of a triangle 
20060901 

From Anthony: I WOULD LIKE TO KNOW THE AREA OF A TRIANGLE THAT IS 42" AT THE BASE WITH EQUAL SIDES OF 29" . Answered by Stephen La Rocque. 





The area of an irregular octagon 
20060823 

From Billy: How do you figure the area of an irregular octagon? Measurements are 4 equal sides of =BD", and 4 equal sides of =BE". It measures 1 1/2" = from flat to flat. Answered by Penny Nom. 





Approximately what is the acreage? 
20060817 

From Lisa: An ad describing a lot size of 73x150. Approximately what is the acreage? Answered by Stephen La Rocque. 





The area of a lot 
20060805 

From Lyn: I have no idea how to find the square feet of an uneven polygon. I am in the process of making a land agreement and need to know.
Please tell me how to figure out the footage and acreage of land as follows.
roadfront 360'
back 360'
left side 220'
right side 180' Answered by Penny Nom. 





The lot is a very odd shape 
20060720 

From Liz: I have a square footage question. I'm looking at buying a piece of land and would like to know how to calculate the square footage of it. The lot is a very odd shape and I have attached a drawing of the lot: Answered by Stephen La Rocque. 





What is the area of the circle? 
20060719 

From Nana: the circle is tangent to sides BC and AD of the 8 by 12 rectangle, ABCD. What is the area of the circle? Answered by Stephen La Rocque. 





Area of a trapezium demonstration 
20060718 

From Karthik: how can u " SHOW THAT THE AREA OF THE TRAPEZIUM IS EQUAL TO HALF THE PRODUCT OF ITS ALTITUDE AND THE SUM OF ITS PARALLEL SIDES." in an Innovative And Creative way..... Answered by Stephen La Rocque. 





Finding square footage from lengths in inches 
20060714 

From Ann: How do I find out the square footage of a window 45" by 22" and 43" by 35.5"? Answered by Stephen La Rocque. 





Order of operations 
20060629 

From Jaden:
(1) A triangle has vertices at (3,3) (7,3) and (2,5). What is the area of the triangle?
Is there a way of doing this so that you dont have to graph it? If the x axis is horizontal can i say it is the base and the yaxis is horizontal meaning the height. Would I be able to do this...3 to 7>9 spaces, 3 to 5>7 spaces9(7)63/2=31.5
(2) A cube has a surface area of 54 square centimeters. What is the volume of the cube in cubic centimeters?
Answered by Stephen La Rocque. 





The area of a house 
20060628 

From Michael: I would like to know how to measure the area of a house? Answered by Penny Nom. 





What should the length of the other sides? 
20060620 

From Kevin: if a property is basically square for 5 acres and one side is 340 feet what should the length of the other sides? Answered by Stephen La Rocque. 





Convert 13ft by 10ft room area into square feet 
20060618 

From Marlene: want to convert 13ft by 10ft room area into square feet Answered by Penny Nom. 





The width & depth of a 1/4 acre pie shaped lot 
20060530 

From Linda: Can you tell me what the approximate width & depth of a &frac; acre pie shaped lot might be? Answered by Penny Nom. 





The area of part of a circle 
20060529 

From Larry: need to find area of a circle between a given line (cord) to the circumference of the circle (see attachment). I often review blue prints of homes and many times have to know the area the home. Answered by Stephen La Rocque and Penny Nom. 





How to find length of sides of hexagon shaped object? 
20060528 

From Billie: How to find length of sides of hexagon shaped object? Answered by Harley Weston. 





The sides of a hexagon 
20060524 

From Emilio: I need to find the measure of the sides of the hexagon that the area is 58 square units. Answered by Stephen La Rocque. 





The area of a 30, 60 90 triangle 
20060524 

From Willetta: if there is a triangle with a 30, 60, and 90 degree angle and the shortest side is 6cm how do you find the area? Answered by Stephen La Rocque and Penny Nom. 





The area of a triangle 
20060521 

From A student: how do you find the area of a triangle? Answered by Penny Nom. 





Square feet and acres 
20060519 

From Lisa: 1.12 acre= ???? sq ft
1.043 acre= ???? sq ft
I work in the loan department and I do appraisal reviews but I use square feet to determine my values. Answered by Penny Nom. 





What is the radius of the sphere? 
20060517 

From Jimmy: The surface area and volume of a sphere are both equal to the product of 4digit whole numbers and pi. What is the radius of the sphere? Answered by Stephen La Rocque. 





The area of a pentagon 
20060511 

From Jessica: i have to find the area of a pentagon ABCDE whose vertices are A (2,5), B (2,2),C(2,4), D(5,2) and E(4,2) Answered by Stephen La Rocque. 





A hallway in an old house 
20060506 

From Sabrina: I am trying to determine how many square feet is in a room that is not square or rectangular. It has basically 5 walls of different lengths, it is acutely considered a hallway in an old house, how can I figure out the footage, the Length times Width requires to much wasted materials Answered by Penny Nom. 





5 square miles or a 5mile square? 
20060503 

From Rosemary: I am an interpreter in our Historical Museum. From what I received, I have always told my guests that when the Connecticut Land Company sold the Western Reserve land, 5 square miles constituted a township. I was corrected yesterday by someone who said it should have been a 5mile square. What is the difference? Hope you can help. Answered by Penny Nom. 





The last slice of pizza 
20060427 

From Lori: I have a pizza. The radius is 10 inches long.The pizza was cut into 16 equal slices. When one slice was left, my sister and I both wanted it, so we agreed to cut it in half, but I like the crust more than she does, so we decided to cut it the "other way." In other words, the two pieces would not be symmetrical. The inside piece would contain all topping, and the outer piece would contain some topping and some crust.
How far up the radius from the center of the circle will I need to cut so we will both have an equal area of pizza? Answered by Stephen La Rocque. 





How wide is this runway? 
20060427 

From Sam: A runway is 3.75 miles long and covers a total of 5.6 acres. What is the width of the runway? Answered by Stephen La Rocque. 





If the perimeter of a square is 1 foot, what is its area? 
20060427 

From Larry: If the perimeter of a square is 1 foot, its area is how many square inches? Answered by Stephen La Rocque. 





Pythagorus and cone dimensions 
20060426 

From Glynnis: How do you find the measure of a side that is not the hypotenuse using the Pythagorean Theorem? Also, how do you figure the surface area and volume of a cone when the radius is 5 yards and the height is 8 yards? Answered by Stephen La Rocque. 





What is the surface area of a cone with a hemisphere on top? 
20060420 

From Jordan: How do you find the surface area of a cone with a hemisphere on top? The only information I have is the radius of the hemisphere, which is 4, and the total height, which is 7. Answered by Stephen La Rocque. 





Which has more pizza? 
20060419 

From Kristine: Which has more area: a round pizza that is 16 inches in diameter or three square pieces of pizza that are 8.5 inches on each side? Answered by Stephen La Rocque. 





Overlapping area of two circles 
20060415 

From Jade: Given two identical circles where the radius (6 units) is the distance between the centers, what is the area of the overlapping region?
Answered by Stephen La Rocque. 





The area of a regular hexagon 
20060410 

From A student: find the area of a regular hexagon with a apothem of 9 Answered by Stephen La Rocque. 





A region described by the lengths of four sides 
20060406 

From Mark: I have an area that is 77ft in length at the top, 83ft at the base. One side is 46ft and the other side is 20ft. What will be the square feet for this area? Answered by Stephen La Rocque. 





A square in a circle 
20060405 

From Lisa: A square is inscribed in a circle. Determine the percent of the circle's area that is outside the square. Answered by Stephen La Rocque. 





The size of a piece of property 
20060402 

From Nancy: My name is Nancy and we purchased a piece of property and I am trying to determine whether it is an acre or less. Could you figure this out for me.
Here are the measurements of the property:
The front is 128.02'
The back is 210'
The left side is 220'
The right side is 251.61'
I am very anxious to find out if it is over an acre.
Thank you for any help you can give. Answered by Penny Nom. 





The area of a triangle 
20060326 

From Colby: the length of one side of a triangle is 2cm less than twice the length of the altitude to that side. the area of the triangle is 30 cm squared. find the length of the altitude.
first of all, what is an altitude? and how do i find it? Answered by Penny Nom. 





The area of a block of land 
20060326 

From Ronald:
I have a building block of land with four unequal sides and only one right angle. I want to know the total area (in metres) and how the calculations were carried out.
The four sides are: Rear of property: 9.14 metres
left side: 36.9 metres
Right side: 32.61 Metres
front to street: 27.43 Metres
The front to street and right side constitute a right angle. but there are no others. Answered by Penny Nom. 





How much fabric do I need? 
20060325 

From Michelle:
I AM DECORATING A STAGE FOR A BOARD OF DIRECTORS MEETING AND I NEED TO BUY FABRIC AND I DON’T WANT TO WASTE $$ BY BUYING TOO MUCH FABRIC OR NOT ENOUGH FABRIC.
THE AREA THAT I’M NEEDING MATERIAL FOR IS, 12ft HIGH BY 34ft WIDE.
THE FABRIC COMES IN ROLLS OF 60” (inches) x 100 yards.
SO HOW MUCH FABRIC SHOULD I NEED TO FOR THE AREA I’M WANTING TO COVER?
Answered by Stephen La Rocque and Penny Nom. 





The square footage of an area in my backyard 
20060317 

From Kim: I need to find out how to calculate the square footage of an area in my backyard that is in the shape of a "slice of pie". There are two sides that are straight lines that come together at the top to form a point, and then at the bottom is a curved line that joins the two other lines together. I need to figure out how to calculate the square footage that is inside the area. Answered by Penny Nom. 





If a circle is elongated into an oval .. 
20060316 

From Bruce: If a circle is elongated into an oval, with constant circumference, does the area remain constant? Answered by Walter Whiteley. 





Rectangles with the same perimeter 
20060314 

From Kristine: If two rectangles have the same perimeter, will they also have the same area? Why Answered by Penny Nom. 





The area of a parallelogram 
20060312 

From Shayne: Is there a method of finding the area of a trapezium or/and parallelogram even if the height is not given? Could you also explain how to find the height? Answered by Penny Nom. 





The area of a regular decagon 
20060306 

From Ester: how do i find the area of a regular decagon with sides of length 6 cm and an apothem of 9.2 cm? Answered by Stephen La Rocque. 





An equilateral triangle and a regular hexagon 
20060228 

From Trevor: An equilateral triangle and a regular hexagon have equal length perimeters. What is the ratio of their areas? Answered by Penny Nom and Stephen La Rocque. 





The volume & surface area of a rectangular pyramid. 
20060227 

From Cheryl: My daughter is working on a math project & we are having a hard time finding the volume & surface area of a rectangular pyramid. Can you help us with this? Answered by Penny Nom. 





The area of a flag 
20060224 

From Kim: I have a flag that's very similar to the canadian flag. Two smaller red areas and i larger white area. If I am given the length is 3 and the height is 1.4 how do I determine what the area of the two red areas is?
Here's the answer but I can't figure out why they are multiplying 1.4 x 1.4?
(3x1.41.4x1.4)divided by 2= 2.24 divided by 2 = 1.12 Answered by Penny Nom. 





Cutting off the top of a triangle 
20060222 

From Ken: I'm a creative type who needs to find how you can determine the horizontal, relative percentages within a triangle. Attached is a pdf showing approximately the
50% line, but I'd like to know how to determine any percentage (horizontally) within a triangle . I know that if I put a horizontal line though the height of the triangle I won't be showing 50% above and 50% below. The bottom part has to be larger (correct me if I'm wrong).
I'm not concerned about height as I am wanting to break down the percentages into 60% at the bottom, 25% in the middle and 15% at the top.
Answered by Penny Nom. 





The area of a hexagon 
20060221 

From Cameron: I am a student and need to know how to find the area of a hexagon that has 6 equal sides of 18". Answered by Stephen La Rocque. 





The height of a cylinder 
20060215 

From Autumn: the surface area of a cylinder with circumference 24pi cm. is 300pi cm^{2} . what is the height??? Answered by Penny Nom. 





The area of a pentagon 
20060201 

From Edward: I am working on finding the Sq. ft of a pentagon. I saw another question like it but I am lost. I have a pentagon that is 6ft on every side what is the Sq Footage of that pentagon? Answered by Penny Nom. 





How much will each piece weigh? 
20060128 

From Matt:
How many equal pieces that weigh between 12 and 13 ounces can be made from 110 ounce block if the whole block is used? How much will each piece weigh?
A paper square has area of 100 in^{2}. Into how many pieces of equal area must the square be but if the area of each piece is to be between 8 in^{2} and 9 in^{2}? What is area of piece?
Answered by Penny Nom. 





Sectors and arcs 
20060125 

From Wael: How is the area of an arc (alpha*pi*r squared/360) derived?
How is the length of an arc (alpha*pi*r/180) derived? Answered by Penny Nom. 





51 acres 
20060115 

From A landowner: i just wanna know how many miles are surrounding my 51 acres? a simple answer will do. thanks:) Answered by Penny Nom. 





12100 sq ft is how many acres? 
20060114 

From Sydney: If there are 12100 Sq. Ft in property what would that be acre wise? Answered by Penny Nom. 





How do I find the area with only one sides measurement? 
20060110 

From Amy: If you have a right triangle with the 90 degree angle located in the bottom left corner and the triangles most sloped line goes from the top left down to the right bottom. And the length of the slope line is 10(radical sign)with the radicand of 2. How do i find the area with only one sides measurement. Answered by Penny Nom. 





40 acres= how many square meters? 
20060107 

From Janelle: 40 acres= how many meters? Answered by Penny Nom. 





The area of an octagon 
20060103 

From Nikki: I want to figure out the square footage of an octagon. i have 8 panels that are 24" wide. Its for my dogs and i wanna know how much room they'll have. Answered by Penny Nom. 





The area of a sector of a circle 
20060102 

From Natashia: How do you find the area of a shaded sector of a circle? Answered by Penny Nom. 





The area of a polygon 
20051231 

From Rahul: I have problem in finding area of polygons. I don't know the formula to find area of pentagon, hexagon and so on. Answered by Penny Nom. 





A rectangle has a length that is 7cm more than twice the width 
20051221 

From Stephanie: A rectangle has a length that is 7cm more than twice the width. The area of the rectangle is 60cm squared. Find the dimensions of the rectangle. Answered by Penny Nom. 





A word problem 
20051219 

From Karen: A package designer wants to protect an expensive book with a 5 cm wide cardboard rim. The area of the rim is equal to the area of the book. What is the length of the book? (The book is square) Answered by Penny Nom. 





The lengths of the sides of an octagon 
20051216 

From Andrew: I need to find the length of the sides of an octagon with an area of 289 in2. Answered by Penny Nom. 





Area of a lot 
20051203 

From Ben:
How do you calculate the area of the following Lot?
I figured the following angles from the deed, which read:
N 86 degrees, 45 minutes E, for 322 feet.
S 10 degrees, 30 minutes W for 113 feet.
N 84 degrees, 30 minutes W for 368 feet.
N 50 degrees, 42 minutes E for 76 feet.
N 40 degrees, 40 minutes E for 15 feet.
There is a discrepancy between two surveyors and I'd like to figure out how to calculate the Area of such a shape. Answered by Harley Weston. 





A one acre square 
20051201 

From David: I know there are 43,560 square feet in 1 acre of land.
If that acre were completely square what would be the perimeter of the square.
I am trying to construct a 1 acre pen for livestock.
Answered by penny Nom. 





The area of a hexagon 
20051023 

From Bhavin: i have a radius of hexagon given as 1.5 km. and i want to find the area of that hexagon. Answered by Penny Nom. 





The area of an irregular semicircle 
20051014 

From Bob: Is there a way to compute the area of an irregular semicircle i.e. one in which the arc length is not determined by the diameter; and is therefore not technically any part circular  yet still possessing an arched side? Answered by Penny Nom. 





Area of an octagon 
20051004 

From AJ: I am working a project for my shop class and need to know the square footage for an octagon with equal 10foot sides. Answered by Penny Nom. 





A field with the largest possible area 
20050925 

From Louise: A FARMER HAS FENCING OF 1000M AND WANTS A FIELD WITH THE BIGGEST POSSIBLE AREA HOW DO I GO ABOUT DOING THIS Answered by Penny Nom. 





A room with a spa 
20050902 

From Stanley: I have a room that is 12 x 16 feet with an 8 foot diameter hole (spa) in it. How many square feet are in this room? Answered by Penny Nom. 





A typical farm 
20050901 

From Pagedi: A typical farm is about 700 acres. How many square miles is this? Please show me the work so, that I will know I to perform this problem myself. Answered by Penny Nom. 





The area of a lot 
20050829 

From Richard: My wife and I are interested in buying property in Idaho but the owner can't give us a square footage of the lot. The dimensions are as follows:
121.0 on the left side
157.0 on the right side
135.0 on the bottom
162.0 on the top
The bottom right corner of the lot is a true right angle, the rest are not. Answered by Penny Nom. 





The area of a triangle 
20050826 

From Martha: I have a triangle that with a base of 60' and the two sides of 37'. I know the formula for area is A=1/2 (b*h) but how do I find the height??
Answered by Penny Nom. 





The area of a pentagon 
20050824 

From Susan: I need to calculate the square footage of a regular pentagon (all angles are equal). Each side is 16 feet long. Answered by Penny Nom. 





The area of an octagon 
20050821 

From A student: Hi I am a ninth grade student trying to figure the area of an octagon with sides of 4 feet and another one with sides of 5 feet Answered by Penny Nom. 





A triangular lot 
20050810 

From Elizabeth: If a piece of property was 100 ft on the west, 133 ft on the east and 100 on the north, how many acres is this or what fraction of an acre is this property? Answered by Penny Nom. 





Area of a lot 
20050807 

From John: We hope this copy of our survey map will help you to determine the acreage of our land. Answered by Harley Weston. 





A perfect square that is equal to 1 acre 
20050731 

From Shannon: If you have a perfect square that is equal to 1 acre, what is the length of the sides and how do you do it? Answered by Penny Nom. 





The area of a lot 
20050717 

From John: A plot of land has the following dimensions: 391 ft. x 757 ft. x 208 ft. x 788 ft. Q: How many acres is this? Answered by Harley Weston. 





The size of a lot 
20050609 

From Bob: Is it possible to determine the square footage and acreage of a residential lot that's straight on 3 sides, and triangular on the 4th side?
As shown in the crude sketch below, the two legs of the triangle at the back end of the lot are 61' and 62'. Answered by Penny. 





Square feet and cubic feet 
20050530 

From Kim: Is there a relationship between square feet and cubic feet? Answered by Penny Nom. 





A triangular lot 
20050521 

From Linda: I am looking to purchase a piece of property, and I need some help trying
to figure out the square footage of the land. I know that
normally if I multiply the length and width I could get my answer. However,
this piece of land is an odd shape and has 3 measurements. Can you
please help me.
The measurements for this piece of land is:
97.8'
201.2'
139.7' Answered by Penny Nom. 





The area of an octagon 
20050521 

From Jeremy: i need to find the area of an octagon with each side measuring 1 foot Answered by Penny Nom. 





Surface areas 
20050511 

From Jessica: How can I demonstrate to my high school students the reason for the formulas for the surface area of a prism, right cylinder, and regular pyramid, and right cone? Answered by Penny Nom. 





Two problems 
20050429 

From Sara:
#1 A boat is traveling in a straight line across a river from point D, directly opposite town P, to a point Q, two thirds of the distance from town P to town R. Towns P and R are towns on the same side of the lake and are 18 miles apart. Line DQ passes through town S, which is 8 miles north of town R. Points P, Q, and R are collinear. What is the length of QS in Miles?
How many miles does the boat travel across the river?
#2 What is the area of a regular hexagon if the perimeter is 24cm?
Answered by Penny Nom. 





Volume and surface area of a prism 
20050429 

From Melissa: Can you please tell me if the volume and surface area of a prism can ever be the same? Could you please explain why or why not. Answered by Walter Whiteley. 





Area of a region on a map 
20050428 

From Balachandar: Pl. find the attached map.
1. Can u pl. find out the total square are of WLMZ
2. Can u pl .find out the total square are of WXYZ  { A }
3. Can u pl .find out the total square are of XLMY  { B }
Pl .help me to find out the above.
..... Answered by Chris Fisher and Penny Nom. 





A roll of paper 
20050416 

From Tuomas: How would you calculate a diameter of a paper reel when the paper is 0,04 millimeters thick and for example 5000 meters of it is winded on a 76 mm (3inch) core. Answered by Penny Nom. 





How much of a acre is this? 
20050302 

From Ken: my property is 11,914 square ft. How much of a acre is this? Answered by Penny Nom. 





The area of a quadrilateral 
20050227 

From Jonathan: I want to know how to find the area of a quadrilateral. Answered by Penny Nom. 





An irregular pentagon 
20050223 

From Tony: Please help me with confirming the area in square footage of the irregular pentagon
My Name is Tony and I am working on understanding the square footage as calculated in the drawing. I also believe this is a secondary level question.
I saw the example http://mathcentral.uregina.ca/QQ/database/QQ.09.03/dana2.html and would appreciate how you worked through the problem, but couldn't find the calculations so that I could adapt them to my sizes. Answered by Penny Nom. 





The area of a triangle 
20050121 

From Amy: In tirangle ABC, AB=6, BC=9, BC is the angle bisector of angle ABC and M is the midpoint of BD. If the area of ABC is 30, what is the area of ABM?
The height comes out greater than the hypotenuse, but the teacher said that there's an answer for it. Can you show me how? Thanks Answered by Chris Fisher. 





A nonrerctangular lot 
20050118 

From EM: One corner of a 60X120 foot lot, otherwise rectangular, is a curve with a radius of 20 feet and a central angle of 90 degrees. What is the area? Answered by Penny Nom. 





The area of a trapezoid 
20050115 

From Doak: What is the total acreage of a pieshaped piece of land that is:
146' f ront
85' back
246' each side
The front and back lines are fairly straight....a trapezoidal shape. Answered by Penny Nom. 





The area of a triangle 
20041230 

From Perry: What is the area of a triangle with dimensions 3"X5"X7"? Could you provide the formula? Answered by Penny Nom. 





Irrigation and a sector of a circle 
20041223 

From Chuck: A friend of mine is a farmer and uses Pivots to irrigate portions of his land. The crop rows are in straight lines that all form chords of a large circle. The intent is to determine area between any two "boundary" rows expressed in acres. Answered by Harley Weston. 





A square footage problem 
20041019 

From Jerome: I have a peice of property that is almost a triangle but not exactly about 280 frontage with the side lines at 228 and 237
I was told I had about one acre plus a little, a developer says I have 33,000 sq ft. and I would like to know what the real result is Answered by Penny Nom. 





The area of a lot 
20040929 

From Deb: I am trying to figure out how many square feet are in a piece of property. Start at Point Athen go 140 feet norththen 100 feet due eastthen 300 feet at an angle southeast so that connecting to point A would be a straight line (right angle to first line north.) Answered by Penny Nom. 





The area of a lot 
20040928 

From Stan: I own a parcel of land (lot 20) that is assessed at 9127.00 square feet and has a frontage of 99.90 feet according to the tax roll. I don't know how large my property actually is since I feel that the tax assessment and the survey map don't jive Answered by Harley Weston. 





Perimeter and area of a semi_circle 
20040918 

From A student: I want to know how to find the perimeter and area of a semicircle and a quartercircle. Answered by Penny Nom. 





The area of a quadrilateral 
20040825 

From Rich: I would like to know how to measure the area (the formula) of a quadrilateral. Answered by Penny Nom. 





The area of a lot 
20040822 

From Cassie: I'm in the process of purchasing some land and I'm trying to figure out the square footage of the property. Unfortunately, it's be a while since I had to remember this type of formula. The property is 140 ft on left side, across the back it is 220.61 ft, the right side is 167.52 ft, the frontage is 105 ft. Answered by Penny Nom. 





Area of a triangle 
20040817 

From Barkie: I'm going into tenth grade and I have a triangle who's sides measure 3ft, 4ft, and 5ft. I need to find the area however I don't know the height, or how to get it. Answered by Chris Fisher. 





Area of a hexagon 
20040810 

From RB: Hello. I need to find the Area in sq. ft. of a Hexagon with 6 equal sides, of 26' each. Answered by Penny Nom. 





The surface area of a pyramid 
20040619 

From Jason: I was wondering how to find the area of a pyramid when you donít know the height of the face but the height of the Pyramids highest point? Answered by Penny Nom. 





Area of a lot 
20040617 

From Mike: Could you please figure out the square footage and acreage of my lot? One side is 228 feet, another is 150 feet, another is 80 feet, and the last side is 164 feet. My house is in the middle and it is 62 feet by 37 feet. Is that subtracted from the total? I would like to know this when I have to buy fertilizer.
Answered by Penny Nom. 





The area of a pentagon 
20040606 

From Dana: HELLO, I NEED HELP IN DETERMINING THE SIZE OF A PENTAGON.
one side is 280',from both ends of the 280 'section,we have 300' lengths,from one of these 300' sections we have a 118' length,which goes over to a length of 228',will this be enough info. or should i provide more. thanks Answered by Penny Nom. 





Programming without trig functions 
20040525 

From Derek: I am a programmer trying to calculate the following.
What is the formula to find the crosssectional area of a cylinder with out using any trig functions? or better yet, how can you calculate any given volume in a cylindrical tank with spherical heads with out trig functions?
I am using a PLC (programmable logic controller) to do this and trig functions are not available. Answered by Harley Weston. 





Area of a lot 
20040511 

From Dana: HELLO MY NAME IS DANA ,I AM AN AVERAGE JOE WITH A QUESTION THAT I CANNOT ANSWER MYSELF SO I CAME TO YOU, I HAVE A PIECE OF PROPERTY IN THE SHAPE OF AN ISOSCELES TRAPEZOID THAT IS 250 FEET ACROSS THE BACK, 100 FEET ACROSS THE FRONT AND BOTH SIDES ARE 600 FEET LONG. HOW MANY SQUARE FEET ARE IN THIS PROPERTY.?
Answered by Penny Nom. 





Surface area of a cylinder 
20040417 

From Kathryn: How do you find the radius of a cylinder when you are given only the surface area and the height of the cylinder? Answered by Penny Nom. 





Circles in a hexagon 
20040411 

From Crystal: step by step can you show me how to calculate the area of the region inside the hexagon but outside the seven circles. given the radius of each circle is one inch Answered by Penny Nom. 





Maximizing the area 
20040327 

From Petey: Please could you tell me why for my coursework (where I have to find the largest area that a fence 1000m long can cover) why I should only test equilateral and isoceles triangles? We were told NOT to do right angled triangles but I was wondering why not?
Answered by Penny Nom. 





Sections, area and acres 
20040323 

From Tony: An acre , it can be any size right . so when they
refer to a section of a township which is 640 acres,
also 1 square mile does this mean that 1 sections
length if sqaure and there is 5,280 ft in 1 mile does
it meanthat if you took 1 side of the square of of 4 sides
the lenth would be 5,280 feet long and by multiplying
5,280 x 5,280 it would give you the square mile in
square feet. i guess what I 'm asking is what is the
perimeter of 1 acre if it was shape like a square.
sorry to make this confusing but if you can help I
would appreciate it. Answered by Penny Nom. 





Area and perimeter 
20040312 

From Sandy: The rectange has an area of M square units and a perimeter of 2M units. What is the value of x?
The length of the rectange is 3, while the width of the rectange is x1. Answered by Penny Nom. 





The area of a lot 
20040309 

From Dave:
If our lot is 192.71 x 138.79 x 158.74 x 103.08
Question is what percentage of an acre is our lot?
Answered by Penny Nom. 





The dimensions of a rectangle 
20040221 

From Jane: A rectangular label has an area of 176cm2 and a perimeter of 54cm. Find the dimensions of the label. Answered by Penny Nom. 





Areas, perimeters and derivatives 
20040215 

From Geoff: A recent lecture in my calculus class led me to realize that the derivative of the area of a circle, with respect to the radius is equal to the circumfrence. This also holds true for the relationship between the volume of a sphere and the surface area of that sphere:
why do these hold true? why is it only for circular objects? Answered by Harley Weston. 





A quadratic word problem 
20040204 

From Carl: A walkway of uniform has 72m2 and surrounds a swimming pool that is 8m wide and 10m long. Find the width of the walkway. Answered by Penny Nom. 





The square footage of an acre 
20040112 

From Paul: What is the square footage of an acre of land assuming all four sides are
equal in length. Answered by Penny Nom. 





The area of a lot 
20040109 

From Lea:
I have a problem. I am interested in purchasing a piece of property which has the following dimensions. It is 259.10 Feet on the north side x 61.20 Feet on the east side x 217.80 Feet on the south side x 196.70 Feet on the west side. It looks like an irregular rectangle shape. How do you figure out the square footage on this irregular sized property, and what is the correct square footage answer.
I have attached a survey map. Answered by Harley Weston. 





The trapezoidal rule 
20031231 

From Prashanth: I have a set of XY coordinates(say 49 points),I want to find the area enclosed by the curve joining them and the axes.I do not have an equation for the curve and I am not able to fit a curve given the points.I use the trapezoidal rule
(Y1+Y2/2)*(X2X1),
Is it right? can I do this with any other method? Answered by Penny Nom. 





The area of a plot of land 
20031219 

From David: I have a plot of land that I cannot find the square footage of. Actually my home sits on a large lot. Local building codes require that a home is seated on no less than 7500 square feet of land and have no less than 50ft of road frontage (the rear of the lot has 65ft of frontage on another road). I need to know if I have enough square footage to build a second home on the rear lot. The lot has five sides. Only one angle is a 90 deg. angle. The others I cannot determine. Of the 4 remaining angles, all 4 angles are obtuse, or greater than 90 deg. The dementions are 89.19' x 130' x 118.52' x 65' x 170.94'. The two legs that make the 90 deg angle are 89.19' and 170.94'. The measurements fall in order using the 90 deg angle as the point of origin and proceeding clockwise, 89.19', 130', 118.52', 65', 170.94'. I have used all the skill I can muster, however, it has been a long time since school and regretably I cannot find an answer. Answered by Penny Nom. 





The area of a triangle 
20031201 

From A student: Find the Area of Triangle ABC
A(3,2)
B(4,0)
C(0,8) Answered by Penny Nom. 





5.75 acres of land 
20031128 

From Susan:
We own 5.75 acres of land here in El Paso Tx.
Some one wants to buy all or some of our land...to build homes on...but.. I can't figure a few things
1. our land is Almost exactly 500x 500x500 x500 ft square proprty
based on this can you tell me the approx perimiter measurements of EACH acre
we wish to sell approx 1/2 of this 5.75 acres ...or a tad bit less.. these are all approx measurements
what I also need to know is.. how many 50ft x 100ft lots are in each (1 )Acre???
Answered by Penny Nom. 





Area of an equilateral triangle 
20031125 

From Jared: Can you help me understand why the area of a equilateral triangle is the square root of 3 divided by 4 times the lenght of the side squared? Answered by Penny Nom. 





A rectangle in a circle 
20030927 

From Abdu: A rectangle ABCD is inscribed in a circle. If the length of AB is 5 and length of BC is 12, what is the area of circle outside the rectanlge ABCD? Answered by Penny Nom. 





Area of a rectangular room 
20030911 

From Kelly: The area of a rectangular room is 238 square feet. The width is 3 feet less than the length. What are the dimensions? Answered by Penny Nom. 





The area of an odd shaped piece of property 
20030724 

From Barry: What is the formula for figuring the square footage of an odd shaped piece of property? Answered by Penny Nom. 





Surface area of a sphere 
20030723 

From Rob: I have a shere with a circumference of 12 feet. What is the total surface area of the shere in square feet and how did you find it? Answered by Penny Nom. 





A wooden deck around a pool 
20030709 

From Dat: A pond is enclosed by a wooden deck that is 3 feet wide. The fence surrounding the deck is 100 feet long.  If the pond is square, what are its dimensions?
 If the pond is rectangular and the length of the is three times its width, what are the dimensions of the pond?
 If the pond is circular, what is the diameter of the pond?
 Which pond has the most area?
Answered by Penny Nom. 





The square footage of a section of land 
20030604 

From Diane: We are trying to calculate the square footage of a section of land with the following dimensions:
One end is 100 feet. The other end is 105 feet.. One side is 350 feet and the other side is 372 feet. I calculated the area as 35,875 sq. feet, however, the brochure for the land says the area is 36,200 + sq. feet. Answered by Leeanne Boehm. 





Area of a trapezoid 
20030413 

From A road builder: My husband works with asphalt building roads. There are times when one end of the road will be (for example) 100ft wide the other end would be( for example) 200ft wide and he must figure the area in square feet. So far it has been a guessing game because he dosen't have the formula to figure the square feet. Answered by Penny Nom. 





The surface area of a cube 
20030407 

From Sarah: if the volume of a cube is 64 cm, then what's the total surface area? I also want to know how to show my work. Answered by Penny Nom. 





The area of a parallelogram 
20030406 

From A student: Find the area of the parallelogram with vertices (0,0),(7,2),(10,7),(3,5) Answered by Penny Nom. 





Doubling the size of an object 
20030401 

From Dave: If I have a known surface area and volume of an unknown object and I want to double the size of the object, how do I find the new area and volume? Answered by Walter Whiteley. 





Surface area of a sphere 
20030311 

From Kim: a sphere has a surface area of 128 pi sq. units. What is its exact radius? formula is 4 pi r^{2} I believe but how do I get radius Answered by Penny Nom. 





Finding the area when the perimeter is known 
20030228 

From Yvette: What is the size of an area in sqare feet when the perimeter totals 842 feet. Sides are 190ft+180ft+200ft+54ft+118ft+100ft. Answered by Penny Nom. 





The area of an isoceles triangle 
20030207 

From A student: I have to find the area of an isoceles triangle with one angle side of 30 degrees, and length of base 5. Could you please help me solve this problem? Answered by Penny Nom. 





The area of a regular ngon 
20030122 

From Sophie:
We have been given a piece of maths coursework. A farmer has exactly 1000 metres of fencing and wants to fence off a plot of level land. she does not mind what the shape is but it must have a perimeter of 1000m. She wants to fence off the plot of land which contains the maximum area. Investigate the shape, or shapes that could be used to fence in the maximum area using exactly 1000 metres of fencing each time. I have investigated many shapes, and I feel that a circle will have the biggest area. However we have also been asked to investigate shapes with 20 and 30 sides. My dad said that there is a formula for finding out any area of land. Do you know of this formula, if so I would be very grateful if you were to email it to me. Answered by Penny Nom. 





The area of my lot 
20030107 

From Linda: I have a lot that is 210 feet in the front, 240 feet in the back and the sides each measure 150 feet. How many square feet is this all together and how close to an acre is it? Answered by Penny Nom. 





The volume of a juice jug 
20021121 

From Edward: I try to find the measurement for a juice jug. I have the height of the jug and need the jug to hold 2.5 Liter of juice. Can you help me out with the formula. Answered by Penny Nom. 





An octagon of perimeter 1,000 meters 
20021105 

From Stephen: my son has to work out the area of a octagon with a outside perimeter of 1,000 metres, Answered by Penny Nom. 





A Circle is evenly divided into six equal triangles 
20020916 

From Marilynn: A Circle is evenly divided into six equal triangles leaving an area between the outside of the circle and the one side of the triangle. This area is measured as 3.14. What is the length of the radius, one line on the triangle? Answered by Paul Betts. 





The area of a triangle 
20020907 

From Phill: How do you find the area of a equilateral and other triangles? Answered by Penny Nom. 





Perimeter 
20020605 

From Tava: I'm a grade four student from St. Mary school. In class we've been dicussing perimeters. So this is what we did; First we each got a piece of paper in the shape of the geoboards and our teacher told us to find as many different shapes of area of 12 square units. During this time we were given to find perimeters of shapes that had twelve square units one of our classmates discovered the biggest perimeter possible with twelve square units of 26 units. Another classmate discovered the smallest perimeter of fourteen units. Here's a question: Why are all the shapes with fourteen units all the same shape? and why are all the shapes with twentysix units can be different? After we found the biggest and smallest shapes our teacher told us we each had to find at least one shape of the biggest and smallest. After we each foud a shape with a perimeter of twentysix and fourteen we had to find different shapes with different perimeters. During that time we discovered different perimeters. What we found was fourteen all the way up to twentysix, but they all went by two's. Why didn't they count up by 14, 15, 16, 17, 18 etc? I think it's because the area is an even number. See if you added one "block" or "square" to it you always add three because at least one of the sides is together with another side. Whyare all the perimeters all even numbers? Answered by Penny Nom. 





The area of a circle 
20020603 

From Jessica: I am doing a maths assigment for university, which is aimed towrds primary school students(k6). I was wondering if you could give me some information as to how I could describe to students the rule for finding the area of circle, using a circle cut up into equal sectors (like a pizza). I know it has something to do with the fact that you can make these shapes into a parallelogram, but I am a bit uncertain as to how I can express this idea clearly and articulately to students. Answered by Penny Nom. 





Overlapping circles 
20020529 

From Naman: There are two circles, big circle with radius R and small one with radius r. They intersect and overlap in such a way that the common area formed is 1/2 pi r^{ 2} (half the area of the small circle) If r=1, find the Radius of the big circle (R)? Answered by Harley Weston. 





The sum of the areas of two regular decagons 
20020527 

From A parent: The sum of the areas of two regular decagons is 39 square inches, and their radii are in the ratio of 2:3. Find the area of the larger decagon. Answered by Paul Betts. 





A triangular prism 
20020428 

From A student: Need the formula for the surface area of a triangular prisim? Answered by Penny Nom. 





Sodding the yard 
20020408 

From Craig: my parents want to lay sod in our back yard. the sod cost $2.00 per square foot. The size of our yard is 20x20 and 26x41 Answered by Penny Nom. 





Area of a triangle 
20020407 

From Puzzled: What is the surface area of a triangle 13 ft x 13 ft x 18 ft? Answered by Penny Nom. 





Area of an octagon 
20020401 

From Someone: What is the actual square footage of a 12' octagon? Answered by Penny Nom. 





The isosceles triangle of smallest area 
20020308 

From Lettie: can you find the isosceles triangle of smallest area that circumscribes a circle of radius of one? Answered by Walter Whiteley. 





A circular wading pool 
20020304 

From Patrick: The community of melfort is planning to build a circular wading pool in the park. The pool will cover an area of 1000m^{2}. The building committee has decided to put a 5m cement pad around it. How much additional area will the cement pad take up? Answered by Harley Weston. 





Number conversions and averages 
20020203 

From A student: A table has the measurements of 1.6m by 2m, how much material is needed to cover table? I converted to cm then multiplied but got an answer of 32000cm ,so I divide by 100 to get to metres  the answer was 320 which I know is wrong  please explain!! Also I need to explain in my own words what an 'average' is and I am struggling. Answered by Penny Nom. 





The size of a lot 
20020126 

From Claudia: I own a piece of property that I need to know the square feet for assessment purposes. The figure they came up with is wrong. They measured from one point to another and halved the sums but that means I own the cul de sac and we don't. My lot is 55 feet wide and one side is 108.96 feet and the other side is 146.04 that extends all the way to a circle. The front of the lot on the cul de sac is stated on the survey like this. 78.21 feet where R=40 feet. This large arc is taken off the size of our land. How many square feet is our lot. Answered by Harley Weston. 





Isoperimetric quotients 
20020102 

From A student: I'm stuck on my GCSE Maths coursework, what do isoperimetric quotients measure? Answered by Penny Nom. 





Where is the fourth point? 
20011024 

From Mike: Four points are placed at random on a piece of paper. Connect the three points of the triangle of the largest area. What is the possibility that the fourth point is in the triangle? Answered by Penny Nom. 





A goat in a square pen 
20011019 

From Brad: A goat is tied to one corner of a square pen 20 ft. on a side.  If the goat's tether is 10 ft. long, what percentage of the grass in the pen can the goat reach?
 What should the length of the tether be so that the goat can reach half of the grass?
Answered by Penny Nom. 





Area of a quilt 
20011014 

From Jack:
 how would you find the area of the quilt? which is a square
 how would you fined the area of each square?
Answered by Penny Nom. 





Maximize the area 
20011013 

From Mike:
I have no clue how to do this problem. Here is what the professor gave to us: A=LW
C=E(2L+2W) + I(PL) Where P = # of partitions E= cost of exterior of fence I = cost of interior of fence C = total cost of fence . . . Answered by Harley Weston. 





A circle and a triangle 
20011004 

From Christina: The points (3,4), (9.2), and (3,2) define a circle and a triangle.  find the areas of the circle and the triangle. Find the difference between their areas.
 Find the length of a side of a square with the same area as the triangle.
 Find the length of a side of a Square with the same are as the circle.
Answered by Penny Nom. 





How much grass to mow? 
20010923 

From Jessica:
 The track and field area is 900 x 500 feet, including track and stands.
 The grass is mowed twice a week.
 5,200 square feet of the sports area is not grass.
Problem: How many square feet of grass are mowed each week? Answered by Penny Nom. 





Area between curves 
20010613 

From Phil:
question 1 find the area bound by the curves y = x^{2} + 2x + 3 and y = 2x + 4 question 2 Find the volume generated by rotating the curve x^{2} + y^{2} = 9 about the xaxis Answered by Harley Weston. 





The area between two curves 
20010508 

From Esther: Find the area of the region enclosed by the graphs of y = x^{3}6x and y = 2x between their points of intersection. Answered by Harley Weston. 





Area of a regular polygon 
20010501 

From Carl: What is the formula for finding the area of a regular Hexagon and a regular Pentagon Answered by Penny Nom. 





Triangles and fractions 
20010427 

From Constance: My name is Constance and I am thirteen years old (I am a student). The question that I am queering about I don't understand why you do ONE HALF x the base x the width WHEN YOU WANT TO FIND the area of a triangle? My second question is if you multiply one half and 10 together why does it come out as 5? Answered by Penny Nom. 





Geometry 
20010421 

From Rebecca: How do you prove the following: Let CD be an altitude of triangle ABC and assume that angle C=90 degrees. Let r1 and r2 be the inradii of triangle CAD and CBD, respectively, and show that r+r1+r2=CD, where r is the inradius of triangle ABC. Answered by Chris Fisher. 





Volume and surface area of a cylinder and a triangular prism 
20010331 

From Kevin: I was wondering how do you find the volume and surface area of a cylinder and a triangular prism. Answered by Penny Nom. 





Perimeter of an acre 
20010324 

From Liz: What is the perimeter of one acre of land? Answered by Penny Nom. 





The area of platts 
20010220 

From Steve: I have to calculate the areas of different "platts" of land from a map, and the only thing I have are the four side measures. There are some cases where no sides are parallel, no lengths the same, and no angles are given, and I was wondering how to calculate the area of such figures. I've attached a rough sketch of a typical platt's shape. Answered by Walter Whiteley. 





An irregular polygon 
20010209 

From Jason: I have a 5 sided irregular polygon I am trying to figure out the area of. There are no right angles in the polygon as far as I can tell. I do not know any angles. Answered by Chris Fisher. 





Square feet and cubic feet 
20010121 

From Jenny: How do I convert square feet to cubic feet? If I have 2000 square feet then how many cubic feet do I have? Answered by Harley Weston. 





Multiplication of fractions 
20010108 

From Angela: Questions:
1. represent multiplication of fractions via an area model 2. describe why, not just how, to round decimals Answered by Penny Nom. 





A quartercircle and two semicircles 
20001231 

From Christopher: Inside the quartercircle are two semicircles with the same radius, (r). Which has a greater area, G or L? Answered by Penny Nom. 





Expanding a garden 
20001116 

From Janeth Rojas: Mr Jones's garden has an area of 21 squares meters. He wants to increase its size by 1/2. Draw a picture to show what his new garden might look like. Be sure to give the new area and demensions, and show your reasoning. Answered by Penny Nom. 





Overlapping a circle and a square 
20001028 

From Jacky: A square with a dimension 20 by 20cm. and a quarter of the circle with the radius of 25cm (A quater of a circle is created by 2 cuts that are perpendicular bisectors of each other where the intersecting point is at the centre of the circle). With these 2 pieces, the 2 pieces are placed over each other in which the 90^{o} angle of the quarter circle matches with one of the right angles on the square. Now, calculate the overlapping area of the 2 figures. Answered by Chris Fisher and Harley Weston. 





Area of shapes 
20001014 

From Melanie: What is the formula to calculate the area of different shapes? Answered by Harley Weston. 





The sum of the cubes is the square of the sum 
20001010 

From Otoniel: Without using mathematical induction, or any other method discovered after 1010 a.d. , prove that the sum of i^{3}, (where i, is the index of summation) from one to, n, is equal to ((n*(n+1))/2)^{2} Answered by Penny Nom. 





Dividing a region in half 
20000921 

From Kerry: There is a line through the origin that divides the region bounded by the parabola y=xx^{2} and the xaxis into two regions with equal area. What is the slope of the line? Answered by Penny Nom. 





Area of a circle 
20000803 

From Larry: I know the formula is pi r squared. For a circle 4 inches in diameter, do I multiply pi (3.1416) by the radius (2") then square the answer to that ie: 3.1416 X 2 squared or do I square the radius (2 X 2") then multiply by pi (3.1416) ?? Answered by Penny Nom. 





A semicircle and a triangle 
20000728 

From Ben: A semicircle and an isosceles triangle ABC have the same base AB and the same area. The equal angles in the triangle are BAC and CAB. I have to find the value of each of these angles. Answered by Harley Weston. 





A trig question 
20000701 

From Will: An open rectangular tank a units deep and b units wide holds water and is tilted so that the base BC makes an angle theta with the horizontal. When BC is returned to the horizontal, who that the depth of the water is (a squared) * cot theta div 2b units Answered by Harley Weston. 





Tiling a floor 
20000627 

From Carolyn Clarkston: A square tile measures 6 inches by 6 inches. What is the least number of tiles needed to cover a rectangular floor area of 9 feet by 12 feet? Answered by Walter Whiteley. 





An Area 
20000626 

From Frank: Can you tell me what the sq. ft. are of and area measuring: __________58____________
 
 
 
 
 
76  70 
 
 
_____21________ 
Answered by Harley Weston. 





Surface area of a contact lens 
20000606 

From Evie Contreras: I would like to know how to calculate the surface area of a contact lens with a radius of 7mm? I know that the area of a circle is pi R squared, but a contact lens has a dome. Answered by Harley Weston. 





Area of an ellipse 
20000502 

From Kaushal Shah: How do I Calculate the area of a ellipse known the length of any related thing. Example, suppose if I know the length of latus rectum, major&minor axis etc. Answered by Walter Whiteley. 





Circumference = Area 
20000419 

From Scot George: The area and circumference of a circle has the same measurement. Find the radius. Answered by Chris Fisher. 





The area of a triangle using calculus 
20000415 

From Todd Bowie: Hi, I am not a student but am reviewing calculus for an upcoming interview. I would like to know how to derive the area of a triangle using calculus. Thanks! Answered by Patrick Maidorn. 





Surface area of a cylinder 
20000407 

From Jim Campbell: I am going to cover the outside of a shaft with some material. How do I figure the square inches of the outside surface of the shaft? Shaft is 6" in diameter and 24" long Answered by Harley Weston. 





Lining a cone 
20000406 

From Jim Campbell: I am not a student, I am trying to solve a business problem. The question. If I want to put a lining in a chute that is cone shaped, how do I calculate the size steel plate I need to do that. The cone is 10' in diameter at the top and has a 20" hole at the bottom. The total height of the chute is 8'. Answered by Harley Weston. 





Riemann sums 
20000330 

From Joshua D. Parham: If n is a positive integer, then
lim (1/n)[1/(1+1/n) + 1/(1+(2/n) + ... + 1/(1+n/n)]
n>infinity
can be expressed as the integral from 1 to 2 of 1/x dx Answered by Penny Nom. 





Surface area of a sphere 
20000322 

From Gina Wilkie: How can I demonstrate to my middle school students the reason for the formula for the surface area of a sphere? Answered by Walter Whiteley and Chris Fisher. 





Grazing area for a goat 
20000310 

From Amy: A goat is tied in the middle of a side of a square building whose sides are 2 yards long. The rope is 4 yards long. What is the grazing area for the goat? Answered by Harley Weston. 





Area of a circle 
20000229 

From Michelle Buboltz: My name is michelle and I just need to convert 25 ft across a circle into how many square feet. Answered by Penny Nom. 





The isoperimetric theorem 
20000224 

From Raj Bobal: How can you prove Mathematically that the maximum area enclosed by a given length is a circle? Answered by Chris Fisher. 





Hexagons 
20000223 

From Mohd. Amjad: I want to know about hexagons. What is the area and the perimeter of an hexagon? Answered by Penny Nom. 





A triangle and a circle 
20000223 

From wendy: If a triangle of base 6 has the same area as a circle of radius 6, what is the altitude of the triangle? I am having trouble with altitude. Answered by Penny Nom. 





Filbert Family Circus 
20000204 

From Sarah: As Clyde moves his broom around the circus ring, he thinks that he has finally found a job where he can make a clean sweep of things. Clyde is sweeping the ring where the lions perform in the Filbert Family Circus. The ring is 76 feet across and Clyde is using a broom 3 feet wide. He starts at the outside edge and works his way to the middle, making circles around the ring. After sweeping 3/4 of the ring, Clyde sees the lions coming with their trainer and scurries out of the ring. How many trips around the ring did he make? Answered by Penny Nom. 





Euclidean Math puzzle 
20000124 

From Margaret Matthews:
(Check out this website: Simeon's Triangle Puzzle ) I have tried to figure out how this could be, because everything I know about it tells me it can't be. However, I can't seem to make it NOT work. Two right angle triangles. They are each cut up into four identical pieces. In the first, all the pieces fit together so that there are NO empty spaces; in the second, presumed to be identical in size to the first, the pieces are slightly rearranged, and now, there IS a space in the triangle. Answered by Patrick Maidorn and Claude Tardif. 





The area of a garden 
19991217 

From Jessica Wells: Hi My name is Jessica Wells and I am 10 years old. I was hoping you could help me out wityh a question my dad gave me. It is if aq graden is 32cm in diameter and I want to know the area of it what process do I use? He's a math wiz so I need o show him that I'm smart too Answered by Penny Nom. 





A model area 
19991215 

From John Ost: Hello, I am a college student taking an elementary math course I need if possible assistance to developing an area model 36 x 25 that shows each of the four separate partial products. I must know how to do the computation 36x25 showing each of the four partial products separately, and indicate how each corresponds to the drawing that is required of the area model. Answered by Penny Nom. 





An area problem 
19991129 

From Vicky Birch: The length of a rectangle is three times it's breadth. If the length were 6 meters less, and the breadth were 6 meters more, the rectangle would be a square. Make a mathematical model and solve the resulting equation to find the breadth of the original rectangle. What is the area of the square? Answered by Penny Nom. 





Area of a quadrilateral 
19991119 

From Zane Cram: I need the formula to calculate the area of an irregular sided rectangle. Each side has a different measurement or length. Answered by Walter Whiteley. 





Transforming a triangle 
19991102 

From Wilder Maldonado: The height, H, of a triangle is increased by a lenth M, How much must be subtracted from the corresponding base,b, so that the area of the new triangle is onehalf that of the original triangle. Answered by Penny Nom. 





Area of a circle and an inequality 
19991030 

From Adam Anderson: I have two problems. The first: prove that the area of a cirlce is pi times radius squared without using calculus. The second: show that ln(x) < x  1 for all x > 0. Answered by Harley Weston.






Two 12sided polygons 
19990925 

From Kelly Boulton: Two 12sided polygons are similar. A side of the larger polygon is 3 times as long as the corresponding side of the smaller polygon. wHAT IS the ratio of the area of the larger polygon to the area of the smaller polygon. Answered by Walter Whiteley. 





Surface area of a cone 
19990918 

From Frothy: I don't understand how to find the surface area of a cone. The height is 12cm and the radius is 5cm. Answered by Walter Whiteley. 





Who is right 
19990904 

From rf, k, p and uncle a: Good morning. Could you please, help us resolve and by the way, confirm "who is right"... regarding the solution of this problem:  a piece of metal is 6 in. wide by 2 in. in height and weights 500 pounds...  what is the weight of a piece made of same metal, 5 in. wide by 1 3/4 in in height? Could you please supply the "formula". Regards, rf, k, p and uncle a. Answered by Penny Nom. 





Cleaning an Ellipse 
19990729 

From Mark Salter: Hello hope some one can help. We need to clean an elipse and then paint it. We need to know the square foot of the job and the job is an elipse which rises 2 ft. is 12 ft wide and is 36 ft long. Answered by Harley Weston. 





The number of acres in a square mile 
19990709 

From Rita Murphy: What is the # of acres in square mile Answered by Harley Weston. 





An Acre. 
19990702 

From Walker Runnels: What is the outside measurements of an acre? (ie. x ft. X x ft.) Answered by Penny Nom. 





Measuring the fourth dimension 
19990607 

From Suzanne Hall: Hi! The other day, two of my students asked a very interesting question: Is the fourth dimension measured with hypercubes? Their reasoning went like this: Lines are 1D and are measured with line segments, which are part of a line. Planes are 2D and are measured with squares, which are part of a plane. Space is 3D and is measured with cubes, which are part of space. So, logically, hypercubes would be used to measure the fourth dimension. Answered by Chris Fisher. 





Circles, cirmcuference and area 
19990516 

From Stephen Ehrler: I would appreciate if you could please tell me if what I discovered here is something or my ignorance? I noticed that a circle with r radii has the folling characteristic. r = [2 * ( pi * r^{2} / pi * 2r)] The equation states that the ratio of a circles area over its circumfrence = 1/2 that of the circles radii. It works every time. Did you know this ? Is it some kind of therom and can it be used for any thing? I thought this was intresting and would appreciate any input you may have. Thank you. Answered by Chris Fisher. 





Square feet and acres. 
19990515 

From Helene Freeman: How can I find out about acres in sq. ft. a house lot is 2360 sq. ft. and the house is on 1432 how many acres are left? Answered by Penny Nom. 





A Polar Plot 
19990506 

From Irene: Consider the polar equation r=23Cos(theta/2) In the interval [o, 4Pi], how would you find the area of one of the leaves and also the length of one of the edges of a leaf? Answered by Harley Weston. 





Area of a triangle from vertex coordinates 
19990421 

From Mark Tyler: I'm no schoolkid, but I liked your answers about triangles. You might enjoy a quick look at this, the kids may too. I was working on a Voronoi dual where I had to calculate the areas of very many triangles expressed as vertex coordinates, so I derived the following very direct formula: A = abs((x1x2)*(y1y3)(y1y2)*(x1x3)) for triangle (x1,y1)(x2,y2)(x3,y3) I've never seen this in a textbook. Is it original? I doubt it, the proof is only a few lines long. Regardless, it may be fun for the kids, even if it's not on the curriculum. Answered by Walter Whitley. 





Circles 
19990421 

From Alex Elkins: How do you find the circumference of a circle if you only know the radius and the square feet or inches of the circle if the radius is 18 inches, If done in inches do you multiply by 12 to get the square feet? Answered by Jack Lesage and Harley Weston. 





Crosssectional area of a cylinder 
19990412 

From Rebecca Connor: What is the formula to find the crosssectional area of a cylinder? Answered by Chris Fisher. 





Universal Area 
19990408 

From Karen Richardson: I need a formula for area that works for a square, a rectangle, a parallelogram, a trapezoid, and a triangle. Answered by Jack LeSage, Chris Fisher and Harley Weston. 





Area of an irregular shaped objects. 
19990407 

From Jesse Townsend: How do I find the surface area of an irregulary shaped object such as someone's knee from the thigh to shin? Thanks. Answered by Walter Whiteley. 





Enlarging a Rink 
19990306 

From Jennifer Rudd: I've been having difficulty with this one question involving area. The level of the question is Grade 11/12. Here it is! A rink is 40 m long by 20 m wide. There are plans to enlarge it by 700m^{2} by adding a strip at one end and a strip of the same width along one side. Find the width of the strip. (Let the width of the strip by x meters.) Answered by Jack LeSage. 





Circumference and Area 
19990216 

From Natalie: finding the circumference of a circle? formula finding the area of a parallelogram? formula
Answered by Penny Nom. 





Dig digs in the garden 
19990211 

From Katherine Shaw: A circular garden has an a radius of 8m. Dig, the dog, is tied up to a fence that runs round the outside of the garden. Dig was able to dig up all the garden, apart from an area of 64 square metres, which he couldn't reach. How long was his lead? Answered by Chris Fisher and Harley Weston. 





The area of a triangle 
19981226 

From Elysia: How do you figure the square inches of a triangle? Answered by Harley Weston. 





Platonic Solids Surface Area 
19981202 

From Rachel Bidwell: How do you find the surface area of the 5 platonic solids, when they each have a volume of one cubic inch Answered by Harley Weston. 





The bricklayers formula 
19981124 

From Rachel Kaplan: I have to do a report on the bricklayers formula N = 7LH. Can you give me any information on this. Answered by Harley Weston. 





The area and the circumference of a circle. 
19980827 

From Jason Wright: I was looking at the relationship of the area of a circle and the circumference when I realized that 2*pi*r is the derivative of pi*r^2. I was wondering if there is any connective deep dark meaning as to why this appears to be related. Thanks for any help you can give me! Answered by Walter Whiteley. 





Area and Volume 
19980728 

From James Pulver: I am going into 12th grade and am practicing for the SAT II. I have come across a problem that I cannot solve. It states that the front, side , and bottom faces of a retangular solid have areas of 24 square centimeters, 8 square centimeters, and 3 square centimeters, respectively. What is the volume of the solid. I need to know how to solve similar problems so is there a formula to go from area to volume? Answered by Jack LeSage. 





Isosceles trapezoid formula 
19980512 

From Donna McMullin: The teacher of Gifted and Talented Math has been trying to locate the formula for anisosceles trapezoid and we can't find it anywhere. Could it be the same formula for that of a parallelogram ? Please advise. Answered by Walter Whiteley. 





Area Calculation 
19980505 

From Jessica: There's a question I have that I hope you can answer about calculating area. It seems to me that common sense says that if you have say 100 meters of fence, the area you can enclose should be a constant. Yet the math says it is not so. For example if you build a rectangle 10x40 the enclosed area is 400 square meters. But if you build a rectangle 5x45 then the area is 225 square meters, even though you've started with the same amount of fencing. I know this is true, but can anyone explain IN ENGLISH why this is so? Answered by Harley Weston. 





Pyramid 
19980504 

From Lisa Nathan: How do you find the area of a pyramid? Answered by Harley Weston. 





Area of a Triangle. 
19980305 

From Amanda: How do you figure out the area of a triangle? You already have the perimeter and height Answered by Penny Nom. 





Area of a triangle. 
19980201 

From Jodi Blucher: Is there a formula for the area of an equilateral triangle knowing the length of the sides? Answered by Chris Fisher and Harley Weston. 





Limited area and unlimited perimeter. 
19971128 

From Rosa: There is a figure, it has unlimited perimeter but has limited area , what is the figure and how to draw it ? Thank you very much! Answered by Harley Weston. 





The Area of a Trapezoid. 
19970507 

From Mary George: I am doing the area of trapezoids and mixed polygons and I was wondering if you can help me figure out this problem. A line segment drawn parallel to a leg of a right triangle divides the other leg into segments of 3cm and 6 cm and the hypotenuse into segments of 5cm and 10 cm. The two figures formed are a triangle and a trapezoid. Find the area of each. I would appreciate if you would email me back the solution. Answered by Harley Weston. 





Surface Area 
19970430 

From Amber Nobile: The height of a cylinder is twice the diameter. Express the total surface area as a function of the height h. Answered by Harley Weston. 





Formulae for Surface Area. 
19970428 

From Gary Millward: I'm trying to help my son with his Math homework (Grade 10) and he has to find the surface area of a cone and rectangluar pyramid. We have the formulas for the volume of these solids, but can't seem to locate the formulas for surface area. Answered by Walter Whiteley. 





A Monte Carlo Procedure 
19970423 

From Donna Hall: A irregularly shaped object of unknown area A is located in the unit square 0<=x<=1. Consider a random point uniformly distributed over the square. Let X = 1 if the point lies inside the object and X = 0 otherwise. Show that E(X) = A. How could A be estimated from a sequence of n independent points uniformly distributed over the square? How would you use the central limit theorem to gauge the probable size of the error of the estimate. Answered by Harley Weston. 





Area Between Two Sectors 
19970302 

From Rebecca Henry: Points A,B,C,D,E,F are equally spaced on a unit circle. Arc CGE has a center A. Find the number of square units of area in the shaded region. Answered by Walter Whiteley. 





Some Circle Questions. 
19970225 

From Staci Vawser: A circle with a radius of 10m is drawn. A chord is drawn across the circle. How is the area that is formed between the chord and the arc calculated? Answered by Harley Weston. 





A triangle problem 
19961219 

From S. Johnson: Given that Triangle ABC is a right triangle and Circle O is inscribed in it find the radius of Circle O, totally in terms of a, b, and c. Answered by Penny Nom. 





Common Area of two sectors. 
19961106 

From Lynda Mow: How do I find the area common to two intersecting circles of radii 8 ft and 10 ft if their common chord is 10 ft long? Answered by Penny Nom. 





Area of an annulus 
19960404 

From Ryan Levering: What is the area of this annulus? Answered by Penny Nom. 





Area=Perimeter 
19960402 

From Jason Pelowski: When will the area and the perimeter of a right triangle be numerically equal? Answered by Penny Nom and Maxine Stinka. 





Magic Square 
19951020 

From Marianne and Carrie: How can an 8 by 8 square have the same area as a 5 by 13 rectangle? Answered by Denis Hanson. 





problème de trigonométrie 
20051101 

From Manon: Soit un triangle ABC, de cotes a , b et c, avec A=45° et B=60°.
Apres avoir demontre que 3a²2b²=0 (que jai fais en utilisant la regle du sinus) et a²2c²+2ac=0 (que jai fait en utilisant la regle du cosinus), vous montrerez que laire du triangle ABC peut sexprimer: { [ 3 + racine carre 3 ] / 12 } b² unites.
Je ne sais pas comment arriver a cette expression de laire. Je narrive pas a exprimer c² et ac en fonction de b².. et je pense que ca pourrait vraiment aider..
puisque je suis arrive a letape:
ac[(racine carre 3) / 4]
avec ac = a² + c²  b²
et a² = 2/3 b²
ms c²= 1/3 b² + ac Answered by Claude Tardif. 

