A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman window is to be 16 ft, determine what should be the radius of the semicircle and the height of the rectangle such that the window will admit the most light. Hint. r P = 2h + 2r + TT r %3D A = 2

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 6P
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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 16 ft, determine what should be the radius of
the semicircle and the height of the rectangle such that the window will admit the most light.
Hint.
r
P =
2h +
2r + TT r
%3D
A =
2
Transcribed Image Text:A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman window is to be 16 ft, determine what should be the radius of the semicircle and the height of the rectangle such that the window will admit the most light. Hint. r P = 2h + 2r + TT r %3D A = 2
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