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# (using calculus) A 184m^2 rectangular corn field is surrounded to be a fence and divided into 2 equal parts by another fence (cont below)?

another fence parallel to two of the sides of the rectangle. What dimensions for the field will require the shortest total length of fencing? What length of fencing will be required?

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- davidLv 73 weeks ago
x, y are length, width of field

xy = 184 ... y = 184/x

Total fence 3x + 2y

f(x) = 3x + 2(184/x)

f' = 3 - 368/x^2 = 0

3x^2 - 368 = 0

x = 11.0755 m

y = 16.613m

3x + 2y = 33.2265m<<< length of fencing

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