A farmer needs to enclose three sides of a meadow with a fence (the fourth side is a stream). The farmer has 240 meters of fence and wants the meadow to have as much area as possible. What should the dimensions of the meadow 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
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
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A farmer needs to enclose three sides of a meadow with a fence (the fourth side is a stream).
The farmer has 240 meters of fence and wants the meadow to have as much area as possible.
What should the dimensions of the meadow 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.)
Width =
meters
Length
meters Enter your answers as numbers. If necessary, round to the nearest
hundredths.
Transcribed Image Text:A farmer needs to enclose three sides of a meadow with a fence (the fourth side is a stream). The farmer has 240 meters of fence and wants the meadow to have as much area as possible. What should the dimensions of the meadow 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.) Width = meters Length meters Enter your answers as numbers. If necessary, round to the nearest hundredths.
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