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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 3.1, Problem 72E

To determine

**To find: **The function that models the total area of the four pens and largest possible total area of the four pens.

Expert Solution

The function that models the total area of the four pens is equal to

**Given information:**

A rancher with

**Calculation:**

Assume that the breadth of the rectangular region is equal to

The fence left is used to fence

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 equal to

Therefore, the function that models the total area of the four pens is equal to