SOLUTION: A rectangular field is to be made along a river. if one side is to have the river as a natural boundary, what are the dimensions of the largest rectangular field that can be enclos
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Question 343917: A rectangular field is to be made along a river. if one side is to have the river as a natural boundary, what are the dimensions of the largest rectangular field that can be enclosed by using 240 meters of fence for the other 3 sides?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
For this rectangle,
The side is parallel to the river.
The area of this rectangle is,
From the perimeter equation,
Substitute in the area equation,
Convert the area equation to vertex form, .
The function has a maximum at the vertex (h,k).
Complete the square to convert to vertex form.
The maximum area of 7200 sq.m. occurs when W=60m.
m
The rectangular field if 60m x 120m.
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