find the exact value of x (in ft)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle, labeled x.)
A window with the shape of a rectangle surmounted by a semicircle. The diameter of the semicircle is equal to the width of the rectangle. The rectangle has width x.
If the perimeter of the window is 24 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted.
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