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Maximum area with given perimeter

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A Norman window is constructed by adjoining a semicircle to the top of a rectangular window. Find the dimensions of the Norman window of maximum area if the total perimeter is 16 feet.

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Solution Summary

This hows how to find dimensions of a Normal window of maximum area.

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Let the dimensions of the rectangle be length x width = l x w

The diameter of the circle will be w the width of the rectangle.

The perimeter of the window will be,

P = l + l + w + perimeter of the semicircle
(only the three sides of the recangle will contribute the the perimeter)

perimeter of the ...

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