(a)
To calculate: To write and graph the equation to represent the area
(a)
Answer to Problem 40SR
Equation to represent the area
Explanation of Solution
Given information: A dog pen is being built with a
Formula Used:
Perimeter of rectangle is given as
Area of rectangle is given as
Calculation:
Given that a dog pen is being built with a
Equation to represent the area
In order to graph the equation, find the solutions of the equation
When
When
When
When
Plotting the points on graph:
Conclusion:
Hence, equation to represent the area
(b)
To calculate: To find the dimensions of the dog pen that would enclose the maximum area inside the fence
(b)
Answer to Problem 40SR
The dimensions of the dog pen that would enclose the maximum area inside the fence are
Explanation of Solution
Given information: A dog pen is being built with a
Calculation:
Given that a dog pen is being built with a
Equation to represent the area
Graph of the function is as follows:
From the graph, the maximum point is at
Thus, when dimension of dog pen is
Conclusion:
Hence, dimensions of the dog pen that would enclose the maximum area inside the fence are
Chapter 9 Solutions
Pre-Algebra, Student Edition
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