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Designing a Norman Window A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a Norman window of perimeter 33 ft that will admit the greatest possible amount of light. (Round your answers to two decimal places.) ... Find X which is the radius of the semicircle (at which it admits the greatest possible amount of light, and Find Y which is the height of the rectangle (at which it admits the greatest possible amount of light)