10) A norman window has the shape of a rectangle surmounted by a semicircle (similar to older buildings). (The diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is 30ft, find the dimensions of the window so that the greatest possible amount of light is admitted.

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
Section8.2: Perimeter And Area Of Polygons
Problem 38E: Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle...
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10) A norman window has the shape of a rectangle surmounted by a semicircle (similar to older buildings). (The diameter of
the semicircle is equal to the width of the rectangle.) If the perimeter of the window is 30ft, find the dimensions of the window
so that the greatest possible amount of light is admitted.
Transcribed Image Text:10) A norman window has the shape of a rectangle surmounted by a semicircle (similar to older buildings). (The diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is 30ft, find the dimensions of the window so that the greatest possible amount of light is admitted.
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