Concept explainers
To evaluate: the maximum width ‘ x’ of the walkway.
Answer to Problem 32PPE
The maximum value of ‘ x’ is 37.1 ft .
Explanation of Solution
Given:
A park is installing a rectangular reflecting pool surrounded by a concrete walkway of uniform width.
The reflecting pool will measure 42ft by 26ft .
There is enough concrete to cover 460ft2 for the walkway.
The diagram of the given situation is shown below,
Now,
According to the question, the expression becomes,
Using the quadratic formula to find the value of ‘ x’ ,
So, the maximum value of ‘ x’ is 37.1 ft .
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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