A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman window is 32 ft, determine what should be the radius of the semicircle and the height rectangle such that the semicircle of the window transmits only half as much light per square foot area as the rectangle.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 38CR: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of...
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1. A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman window is 32 ft, determine what should be the radius of the semicircle and the height rectangle such that the semicircle of the window transmits only half as much light per square foot area as the rectangle.
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