Kylie M.

asked • 04/04/22

A pig farmer wants to enclose a rectangular area

A pig farmer wants to enclose a rectangular area and then divide it into five pens with fencing parallel to one side of the rectangle (see the figure below). There are 640 feet of fencing available to complete the job. What is the largest possible total area of the five pens?

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Raymond B. answered • 04/04/22

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640 = 6W + L


L= 640-6W


Area = A = LW = (640 -4W)W = 640W -4W^2


A' = 640 - 8W = 0

W = 640/8 = 80 feet wide

L = 640-6(80) = 640-480 = 160 feet long


maximum area = LW = 160(80) = 12,800 square feet



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David W.

I don't see a diagram, but to enclose the whole area and insert four dividers, 640 = 6W + 2L
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04/04/22

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