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What is the maximize the area of a rectangular patio?

I have 400 feet of lumber to frame a rectangular patio. I want to maximize the area of the patio. What should the dimensions of th patio be. Show how the maximum area of patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.

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Assume the sides of the patio is x ...

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The solution explains how to maximize the area of a rectangular patio when the perimeter is fixed using the vertex form in detail. This solution is provided in an attached Word file.