Asked by Anonymous
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?
Answers
Answered by
drwls
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.
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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