A fence is to be built to enclose a rectangular area of 1800 square feet. The fence along three sides is to be made of material that costs ​$3 per foot. The material for the fourth side costs $9 per foot.   Find the dimensions of the rectangle that will allow for the most economical fence to be built.

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 fence is to be built to enclose a rectangular area of

1800 square feet. The fence along three sides is to be made of material that costs
​$3 per foot. The material for the fourth side costs $9 per foot.
 
Find the dimensions of the rectangle that will allow for the most economical fence to be built.
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