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Algebra
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brody's farm borders a river. He buys 1,000 meters of fencing. What dimensions maximize the area of the farm?
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First write what you need to find A = LW Then what you know (since it is against a river you only need three sides hence the one W) P = 2L + W 1000 = 2L + W Solve for one variable (I chose W) W = 1000 - 2L Plug into Area equation A = 1000L - 2L^2 Take the derivative dA/dL = 1000 - 4L Solve for L L=250 Plug into perimeter equation 1000 = 2(250) + W W = 500 Therefore the dimensions should be 250 m x 500 m given that it is against the river.
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