A window is in the form of a rectangle surmounted by a semi-circle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does. The total perimeter of the window is 40 meters.a. Sketch a picture of the window and label your variables on the picture.b. State the formulas you need for this problem and set up the formula for the amount of light that the window will admit.c. What are the dimensions of the window
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SOLVED:A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.
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