A gardener has 1080 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing.  What dimensions would guarantee that the garden has the greatest possible area?   shorter side:              ft (feet) longer side:               ft (feet)  greatest possible area:               ft2  (square-feet)

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 gardener has 1080 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. 

What dimensions would guarantee that the garden has the greatest possible area?  

shorter side:              ft (feet)

longer side:               ft (feet) 

greatest possible area:               ft2  (square-feet)

 

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