A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single- strand electric fence. The farmer has 800 m of wire at her disposal to enclose the plot. What is the largest area you can enclose and what is the dimensions of the plot?

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single- strand electric fence. The farmer has 800 m of wire at her disposal to enclose the plot. What is the largest area you can enclose and what is the dimensions of the plot?

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

Chapter5: Factoring Polynomials

Section5.13: Using Factoring To Solve Problems

Problem 32P

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Question

A rectangular plot of farmland will be bounded on one
side by a river and on the other three sides by a single-
What is the quantity that is being optimized in this
problem?
strand electric fence.
The farmer has 800 m of wire at her disposal to enclose
the plot. What is the largest area you can enclose and
what is the dimensions of the plot?
Write a formula for this quantity using your variables x
and y.

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