A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides is to be made of material that costs $6 per foot. The material for the fourth side costs $18 per foot. Find the dimensions of the rectangle that will allow for the most economical fence to be built. The short side is ft and the long side is ft.

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
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides is to be made of
material that costs $6 per foot. The material for the fourth side costs $18 per foot. Find the dimensions of the rectangle
that will allow for the most economical fence to be built.
The short side is
ft and the long side is ft.
Transcribed Image Text:A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides is to be made of material that costs $6 per foot. The material for the fourth side costs $18 per foot. Find the dimensions of the rectangle that will allow for the most economical fence to be built. The short side is ft and the long side is ft.
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