A gardener has 1000 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:  longer side: greatest possible area:

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 20P
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A gardener has 1000 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: 

longer side:

greatest possible area:

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