(a)
To find:a model for the area of the pen as a function of the length and width of the rectangle.
(a)
Answer to Problem 58E
Explanation of Solution
Given information: Construction: Selena wishes to build a pen for her animals. He has 52 yards of fencing and wants to build a rectangular pen.
Calculation:
Let the dimensions of the pen be
Since the available fencing is 52 yards, the perimeter
Divide both sides by 2
We can write the length in terms of the width.
The area,
Since
(b)
dimensions that would produce the maximum area.
(b)
Answer to Problem 58E
Explanation of Solution
Given information: Construction: Selena wishes to build a pen for her animals. He has 52 yards of fencing and wants to build a rectangular pen.
Calculation:
From part a
For maximum area:
Substitute values
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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