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
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ISBN:9780470458365
Author:Erwin Kreyszig
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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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