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?

What is the ratio of the width of the rectangle to the total height?

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

Problem Answer:

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

Solution:

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