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what is the maximum area of a rectangular garden that can be enclosed by a fence having a running perimeter of 20 m

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Answer:

The maximum area can be derived by computing the first derivative which is dA/dx=50–2x. So the maximum length will occur when dA/dx=0 and thus x=y=25m. Perimeter of fenced area is P where P = 100 m. If area A is a square, then A = (P/4)^2 = 625 sq

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