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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 3.1, Problem 71E

To determine

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

Expert Solution

The dimensions of the field of largest area that the farmer can fence is

**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