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A farmer needs to enclose three sides of a pasture with a fence (the fourth side is a river). The farmer has 39 yards of fence and wants the pasture to have an area of 180 sq- yards. What should the dimensions of the pasture be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.)

A farmer needs to enclose three sides of a pasture with a fence (the fourth side is a river). The farmer has 39 yards of fence and wants the pasture to have an area of 180 sq- yards. What should the dimensions of the pasture be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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A farmer needs to enclose three sides of a pasture with a fence (the fourth side is a river). The farmer has 39 yards of fence and wants the pasture to have an area of 180 sq- yards. What should the dimensions of the pasture be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.) length yards width = yards
Transcribed Image Text:A farmer needs to enclose three sides of a pasture with a fence (the fourth side is a river). The farmer has 39 yards of fence and wants the pasture to have an area of 180 sq- yards. What should the dimensions of the pasture be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.) length yards width = yards
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