A Norman window has the shape of a rectangle surmounted by a semi-circle (therefore the diameter of the semi-circle is equal to the width of the rectangle). If the perimeter of the window is 20 ft, find the dimensions of the window so that the greatest possible amount of light is admitted.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A Norman window has the shape of a rectangle surmounted by a semi-circle (therefore the diameter of the semi-circle is equal to the width of the rectangle). If the perimeter of the window is 20 ft, find the dimensions of the window so that the greatest possible amount of light is admitted.

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