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A Norman Window Has the Shape of a Rectangle Surmounted

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A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is   ft, find the dimensions of the window so that the greatest possible amount of light is admitted. ft, find the dimensions of the window so that the greatest possible amount of light is admitted.

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