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An architect is designing a composite window by attaching a semicircular window on top of a rectangular window, so the diameter of the top window

An architect is designing a composite window by attaching a semicircular window on top of a rectangular window, so the diameter of the top window is equal to and aligned with the width of the bottom window.

If the architect wants the perimeter of the composite window to be 14 ft, what dimensions should the bottom window be in order to create the composite window with the largest area?

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