## Question

###### A window is in the form of a rectangle surmounted by a semicircle. If the perimeter is $30 mathrm{~m}$, find the dimensions so that the greatest possible amount of light may be admitted.

A window is in the form of a rectangle surmounted by a semicircle. If the perimeter is $30 mathrm{~m}$, find the dimensions so that the greatest possible amount of light may be admitted.

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