PRACTICE ANOTHER

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SCALCCC$54\mathrm{.}6\mathrm{.}041.$MI$.$

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 $x.)$

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$(1)$

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.

$x=ft$