A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet longer than the length of a shelf. If 26 feet of lumber is available for the entire unit (including the shelves, but NOT the back of the bookcase), find the length and height of the unit

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet longer than the length of a shelf. If 26 feet of lumber is available for the entire unit (including the shelves, but NOT the back of the bookcase), find the length and height of the unit.
A bookcase is to be constructed as shown in
longer than the length of a shelf. If 26 feet of
shelves, but NOT the back of the bookcase),
T shelf length
height
The length is 4.5 ft and the height is 8.5 ft
O The length is 3 ft and the height is 7 ft
O The length is 11.0 ft and the height is 13.5 ft
O The length is 3 ft and the height is 12 ft
2002-20
Transcribed Image Text:A bookcase is to be constructed as shown in longer than the length of a shelf. If 26 feet of shelves, but NOT the back of the bookcase), T shelf length height The length is 4.5 ft and the height is 8.5 ft O The length is 3 ft and the height is 7 ft O The length is 11.0 ft and the height is 13.5 ft O The length is 3 ft and the height is 12 ft 2002-20
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