# Solution: What is the ratio of the width of the rectangle to the total height ?

A normal window is in the shape of a rectangle surmounted by a semi-circle. What is the ratio of the width of the rectangle to the total height so that it will yield a window admitting the most light for a given perimeter?

#### Problem Statement: CE Board November 1996

A normal window is in the shape of a rectangle surmounted by a semi-circle. What is the ratio of the width of the rectangle to the total height so that it will yield a window admitting the most light for a given perimeter?
• A. 1
• B. 1/2
• C. 2
• D. 2/3

The ratio of the width of the rectangle to the total height is equal to 1

Solution:

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