Mustafa K.

asked • 04/04/21

what is the dimension of the rectangular pen that maximizes the area?

You have 800ft of fencing to make a pen for hogs. If you have a river on one side of your property, what is the dimension of the rectangular pen that maximizes the area?

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Raymond B. answered • 04/04/21

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L+2W = 800

Area = A= LW = (800-2W)W = 800W -2W^2


Take the derivative, set equal to zero and solve for W


-4W + 800 = 0

W = 200 feet

L = 800-2(200)= 400 feet


400 by 200 ft maximizes area = 80,000 square feet

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Katlyn K.

W should be 200. (800-2W)W = 800W-2W^2, not 800W-4W^2 so the dimensions are 200x400ft with an area of 80,000 square feet
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10/26/22

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