A window has the shape of a rectangle surmounted by a semicircle similar to older buildings....

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A window has the shape of a rectangle surmounted by a semicirclesimilar to older buildings. The diameter of the semicircle is equalto the width of the rectangle. If the perimeter of the window is30ft, find the dimensions of the window so that the greatestpossible amount of light is admitted.

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Solution Let thedimensions of the rectangular part of the window be a x b Sincethe diameter of the semicircle is equal to the width of therectangle thereforeGiven the perimeter of the    See Answer
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