SOLUTION: A farmer has 240 meters of fencing and wants to enclose a rectangular area of 3200 square meters. What dimensions should he use?

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Question 200636: A farmer has 240 meters of fencing and wants to enclose a rectangular area of 3200 square meters. What dimensions should he use?
Answer by Alan3354(69443) About Me  (Show Source):
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A farmer has 240 meters of fencing and wants to enclose a rectangular area of 3200 square meters. What dimensions should he use?
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L*W = 3200
2L + 2W = 240 --> W = 120-L
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L*(120-L) = 3200
120L - L^2 = 3200
L^2 - 120L + 3200 = 0
(L-40)*(L-80) = 0
L = 40, W = 80
L = 80, W = 40