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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 Preview

    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 ...

    Solution Summary

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