A contractor is to build a brick wall 6 feet high to enclose a rectangular garden. Only three sides of the garden need to be enclosed because the fourth side is a building. The owner wants to enclose the maximum area but will only pay for 224 feet of wall.  What dimensions should the contractor make the garden?

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 13CR: One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions...
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A contractor is to build a brick wall 6 feet high to enclose a rectangular garden. Only three sides of the garden need to be enclosed because the fourth side is a building. The owner wants to enclose the maximum area but will only pay for 224 feet of wall. 

What dimensions should the contractor make the garden? 
 
 
 
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