A Norman window is a single window that has the shape of a semicircle above a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. h (You can click on the graphic to enlarge the image.) Suppose that a Norman window has an outside perimeter of 8 meters. (a) What is the area of the entire window as a function of r only? A(r) : 2 square meters.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 79E
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A Norman window is a single window that has the shape of a semicircle above a rectangle so that the diameter of the semicircle is equal to the
width of the rectangle.
h
(You can click on the graphic to enlarge the image.)
Suppose that a Norman window has an outside perimeter of 8 meters.
(a) What is the area of the entire window as a function of r only?
A(r)
2 square meters.
(b) What is the largest possible area of a Norman window with an outside perimeter of 8 meters?
Answer:
Σ
square meters.
Transcribed Image Text:A Norman window is a single window that has the shape of a semicircle above a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. h (You can click on the graphic to enlarge the image.) Suppose that a Norman window has an outside perimeter of 8 meters. (a) What is the area of the entire window as a function of r only? A(r) 2 square meters. (b) What is the largest possible area of a Norman window with an outside perimeter of 8 meters? Answer: Σ square meters.
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