Talaifina T.

asked • 02/02/23

What should the rectangle's dimensions be in order to maximize the area of the window, and, therefore, allow in as much light as possible?

A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular Norman window is to be 30 feet. What should the rectangle's dimensions be in order to maximize the area of the window and, therefore, allow in as much light as possible?

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Did you draw and label a diagram?
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02/02/23

Talaifina T.

yes but every time I put in my calculations, it say's it's wrong
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02/02/23

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Inactive Tutor answered • 02/02/23

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desmos.com/calculator/6sjwtsevnv


The above graph allows you to change the perimeter and to experiment with different values for the radius of the semi-circle. Click the "set r to give max area" link to maximize area of the window.

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