SOLUTION: The perimeter of a paved area being built at a playground is going to be 46 meters. If the length and width are each a whole number of meters, what should the length and width of t

Algebra ->  Rectangles -> SOLUTION: The perimeter of a paved area being built at a playground is going to be 46 meters. If the length and width are each a whole number of meters, what should the length and width of t      Log On


   

Question 270865: The perimeter of a paved area being built at a playground is going to be 46 meters. If the length and width are each a whole number of meters, what should the length and width of the area be to cover the greatest possible area? Draw a picture and make an organized list to solve. I dont know how to solve this can you please help me!!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The perimeter of a paved area being built at a playground is going to be 46 meters. If the length and width are each a whole number of meters, what should the length and width of the area be to cover the greatest possible area? Draw a picture and make an organized list to solve. I dont know how to solve this can you please help me!!!
:
We know:
2L + 2W = 46
Simplify, divide by 2
L + W = 23
:
Max area of a rectangle is a square, but since this has to be integer values.
the closest we can get is 12 by 11 meters
:
you can prove that
12 * 11 = 132
13 * 10 = 130
14 * 9 = 126
etc