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Area maximization for fencing a yard

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Jason plans to fence a rectangular area with 120 m of fencing. Allowing w to be width and l to be length of our rectangular area, we have, therefore,

perimeter = 2w + 2l = 120, or

l = 60 - w.

Knowing that our area A is wl, or

A = w(60-w),

what selection of width w will maximize our area A?

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Jason plans to fence a rectangular area with 120 m of fencing. Allowing w to be width and l to be ...

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