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?

Question

Mathematics

Colten Proctor

2 March, 15:43

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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Jack Mckay · Answer 1

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.