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maximum area

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8 items are filed under this topic.
The maximum area of a rectangle with a given perimeter 2017-06-02
From Bob:
How would I go about finding the maximum area of a rectangle given its perimeter (20m, for example)?
Answered by Penny Nom.
A rectangle of largest possible area 2011-09-16
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.
The maximum area of a rectangle 2010-01-03
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.
Maximizing the area of a rectangle 2009-12-17
From rachel:
A rectangular field is to be enclosed by 400m of fence. What dimensions will give a maximum area?
Answered by Penny Nom.
What is the greatest area she can have for her garden? 2008-05-12
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 maximum area of a rectangle 2007-11-23
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 = 4-x
4. A = x(4-x) = 4x-x^2

Not sure what to do from this point because I don't know if its right.

Answered by Harley Weston.
Maximum area 2007-04-29
From fee:
Given a perimeter of 24cm, calculate the maximum area using quadratics.
Answered by Penny Nom.
The isoperimetric theorem 2000-02-24
From Raj Bobal:
How can you prove Mathematically that the maximum area enclosed by a given length is a circle?
Answered by Chris Fisher.



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