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A rancher has 120 yards of fence with which to enclose three sides of a rectangular field (the fourth side is a river and will not require fencing). Find the dimensions of the field with the largest possible area. (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).) length = width= yards yards What is the largest area possible for this field? area = yards-squared

A rancher has 120 yards of fence with which to enclose three sides of a rectangular field (the fourth side is a river and will not require fencing). Find the dimensions of the field with the largest possible area. (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).) length = width= yards yards What is the largest area possible for this field? area = yards-squared

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A rancher has 120 yards of fence with which to enclose three sides of a rectangular field (the fourth side is a river and will not require fencing). Find the dimensions of the field with the largest possible area. (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).) length width= = yards yards What is the largest area possible for this field? area = yards-squared Enter your answers as numbers. If necessary, round to the nearest hundredths.
Transcribed Image Text:A rancher has 120 yards of fence with which to enclose three sides of a rectangular field (the fourth side is a river and will not require fencing). Find the dimensions of the field with the largest possible area. (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).) length width= = yards yards What is the largest area possible for this field? area = yards-squared Enter your answers as numbers. If necessary, round to the nearest hundredths.
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