13. Two brothers wish to put a new window in a building. They want the perimeter of the window to be 100 feet. The graph shows the relation between the width, x, of the opening and the area of the opening. 1000- 800- (25,625) 600- 400- 200- 0- 10 20 30 40 50 60 Width (feet) (a) What is the area of the opening if the width is 40 feet? (b) What is the width of the opening for the area to be a maximum? Area (square feet)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.6: Relations
Problem 43PFA
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13. Two brothers wish to put a new window in a building. They want the
perimeter of the window to be 100 feet. The graph shows the relation
between the width, x, of the opening and the area of the opening.
1000-
800-
(25,625)
600-
400-
200-
0-4
Ó 10 20 30 40 50 60
Width (feet)
(a) What is the area of the opening if the width is 40 feet?
(b) What is the width of the opening for the area to be a maximum?
Area (square feet)
Transcribed Image Text:13. Two brothers wish to put a new window in a building. They want the perimeter of the window to be 100 feet. The graph shows the relation between the width, x, of the opening and the area of the opening. 1000- 800- (25,625) 600- 400- 200- 0-4 Ó 10 20 30 40 50 60 Width (feet) (a) What is the area of the opening if the width is 40 feet? (b) What is the width of the opening for the area to be a maximum? Area (square feet)
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