A Norman window consists of a rectangle surmounted by a semicircle. If theperimeter of a Norman window is to be 20ft., what should the radius of thesemicircle and the height of the rectangle be so that the window will admit themost light?

Here we have to maximize the area.

Answered: A Norman window consists of a 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 35CR

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A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman window is to be 20ft., what should the radius of the semicircle and the height of the rectangle be so that the window will admit the most light?