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A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular Norman window is to be 12 ft.

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A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular Norman window is to be 12 ft. What should its dimensions be in order to allow the maximum amount of light to enter through the window? To allow the maximum amount of light to enter through the window, the radius of the semicircle should be and the height of the rectangle should be "Do not round until the final answer. Then round to two decimal places as needed.)

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