a)
To write: an expression in terms of w for the length of the playground.
a)
Answer to Problem 33PPE
The length of the playground is
Explanation of Solution
Given:
A school is fencing in a rectangular area for a playground.
It plans to enclose the playground using fencing on three sides, as shown.
The school has budgeted enough money for 75ft of fencing material and would like to make a playground with an area of 600 ft2.
From the diagram, the expression for the ‘ w’ ,
So, the width of the playground is
b)
To evaluate: an equation to find the width ‘ w’ .
b)
Answer to Problem 33PPE
The width of the playground is
Explanation of Solution
Given:
A school is fencing in a rectangular area for a playground.
It plans to enclose the playground using fencing on three sides, as shown.
The school has budgeted enough money for 75ft of fencing material and would like to make a playground with an area of 600 ft2.
From the diagram, the expression for the ‘ w’ ,
Now,
Solving the above equation,
Using the
So, the width of the playground is
c)
To evaluate: the length of the playground.
c)
Answer to Problem 33PPE
The length of the playground is 23. 07ft or 50 ft .
Explanation of Solution
Given:
A school is fencing in a rectangular area for a playground.
It plans to enclose the playground using fencing on three sides, as shown.
The school has budgeted enough money for 75ft of fencing material and would like to make a playground with an area of 600 ft2.
From the diagram, the expression for the ‘ w’ ,
Now,
Solving the above equation,
Using the quadratic formula,
So, the width of the playground is
If width is 26 ft ,
If width is 12 ft ,
The length of the playground is 23. 07ft or 50 ft .
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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