10 items are filed under this topic.
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    The maximum area of a garden | 
  2021-04-28 | 
  
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  From Lexie: suppose you want to make a rectangular garden with the perimeter of 24 meters.
What's the greatest the area could be and what are the dimensions? Answered by Penny Nom. | 
  
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    A triangle of maximum area | 
  2019-03-07 | 
  
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  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. | 
  
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    The maximum area of a rectangle with a given perimeter | 
  2017-06-02 | 
  
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  From Bob: How would I go about finding the maximum area of a rectangle given its perimeter (20m, for example)? Answered by Penny Nom. | 
  
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    A rectangle of largest possible area | 
  2011-09-16 | 
  
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  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. | 
  
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    The maximum area of a rectangle | 
  2010-01-03 | 
  
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  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. | 
  
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    Maximizing the area of a rectangle | 
  2009-12-17 | 
  
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  From rachel: A rectangular field is to be enclosed by 400m of fence. What dimensions will give a maximum area? Answered by Penny Nom. | 
  
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    What is the greatest area she can have for her garden? | 
  2008-05-12 | 
  
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  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. | 
  
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    The maximum area of a rectangle | 
  2007-11-23 | 
  
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  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. | 
  
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    Maximum area | 
  2007-04-29 | 
  
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  From fee: Given a perimeter of 24cm, calculate the maximum area using quadratics. Answered by Penny Nom. | 
  
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    The isoperimetric theorem | 
  2000-02-24 | 
  
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  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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