Suppose that a family wants to fence in an area of their yard for a rectangular vegetable garden. One side of the area of the vegetable garden will be the wall of their house. The family has enough money to buy 160 ft of fencing. What dimensions would produce the maximum area for the garden?

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
Chapter4: Polynomials
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Suppose that a family wants to fence in an area of their yard for a rectangular vegetable garden. One side of the area of the vegetable garden will be the wall of their house. The family has enough money to buy 160 ft of fencing. What dimensions would produce the maximum area for the garden? What is the maximum area? Define all variable and explain your set up. Show all solving steps.

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