SOLUTION: a fixed perimeter of 164ft, what dimensions would yield the maximum area? what is the area?

Question 290400: a fixed perimeter of 164ft, what dimensions would yield the maximum area? what is the area?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a fixed perimeter of 164ft,
what dimensions would yield the maximum area?
what is the area?
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2(L+W) = 164
L+W = 82
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L = 82-W
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Area = W(82-W) = 82W-W^2
maximum area occurs when W = -b/2a = -82/(-2) = 41
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A(41) = 41*(82-41) = 1681 sq. ft. (maximum area)
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Cheers,
Stan H.
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