
Concept explainers
To find: The dimensions of the field of largest area that a farmer can fence.

Answer to Problem 71E
The dimensions of the field of largest area that the farmer can fence is
Explanation of Solution
Given information:
A farmer has
Calculation:
As per given, assume that the length of the rectangular field is equal to
As the length is fenced two times i.e. length of the fence for these two sides is equal to
Use the formula for the area of the rectangular region.
So, the area function of the rectangular region is given by
To graph a function
First press “ON” button on graphical calculator, press
The display will show the equation,
Now, press the
Figure (1)
As observed from the graph, the area function has maximum value at
So, the length of the rectangular region is equal to
Therefore, the dimensions of the field of largest area that the farmer can fence is
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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