SOLUTION: Among all rectangles that have a perimeter of 170, find the dimensions of the one whose area is largest. Write your answers as fractions reduced to lowest terms.

Question 997342: Among all rectangles that have a perimeter of 170, find the dimensions of the one whose area is largest. Write your answers as fractions reduced to lowest terms.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
L*W=170
2L+2W=170
L+W=85
L=(85-W)
(85-W)*W is a maximum
-W^2+85W=0
The vertex x value is -b/2a
=85/2 with minus signs gone
42.5 or (85/2) units for both L and W
It is a square.

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