# math (college)

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write a quadratic function needed to find the dimension of the rectangle with perimeter 100 having the maximum area. what are the dimensions of the rectangle with the maximum area?

• math (college) -

2(H + W) = 100
H + W = 50

Area = W*H = W*(50-W) = 50W - W^2
= +625 - (W-25)^2
This is a maximum when the width W = 25, in which case the height H is also 25. The maximum-area figure is a square.

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