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A Norman window is constructed by adjoining a semicircle to the top of a rectangular window,...

A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as shown in the image below. What is the maximum possible area, in square meters, of a Norman window with a perimeter of 26 meters? You may enter an exact answer or round to the nearest hundredth.

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maximum area of window is 47.33 square meter.

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