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Maximizing the Area of a Rectangle Given Perimeter

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John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 time width) He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be?

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The area of a rectangle is maximized. The solution is detailed and well presented.

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assume the lengh of the patio is a and width is b, then we ...

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