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A Norman window has the outline of a semicircle on top of a rectangle, as shown...

A Norman window has the outline of a semicircle on top of a rectangle, as shown in the figure. Suppose there is 10 +

π

meters of wood trim available. Discuss why a window designer might want to maximize the area of the window. Find the dimensions of the rectangle (and, hence, the semicircle) that will maximize the area of the window. Round all values in your answer to two decimal places if needed.
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