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25 August, 01:36

A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the rectangular part of a Norman window to allow in as much light as possible, if there are only 12 ft of the frame material available?

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  1. 25 August, 01:51
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    The dimensions of the rectangular portion of the window should be 4 by 4.

    To maximize area, we make the dimensions as close to congruent as possible. Since there will be 3 sides on the rectangular portion with a frame around them, we divide 12 by 3:

    12/3 = 4

    This means it should be 4 by 4.
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