A graphing calculator is recommended. A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the figure below. A Norman window with perimeter 90 ft is to be constructed (a) Find a function that models the area A of the window in terms of width x х |2 3.14 90 2x х A(x) + 2 2 X (b) Find the dimensions of the rectangular portion of the window, such that the full window admits the greatest amount of light. (Round your answers to two decimal places.) width ft X ft height Enter a number.

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