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A Norman window has the outline of a semicircle on top of a rectangle. Suppose there are 8 + feet of wood trim available.

A Norman window has the outline of a semicircle on top of a rectangle. Suppose there are 8 + π feet 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.

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