A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80ft of fence? What should the dimensions of the garden be to give this area? Now I came up with 20ft. by 20ft. with 400 being the maximum area. But the book is saying 40ft. by 40ft. with 1600 being the masimum area. Is the book taking 80 and doubling it because it says the farmer is using one side of the barn but we have to use the whole thing?

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with 80 ft of fence, how can u get the dimension 40 by 40??
i think u r correct

u can get the maximum area when it is a square, so, yeah, length and width should be same

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