Answer: The width of the path is 3 m.
Step-by-step explanation:
1. You know that:
- The pool measures 14 meters by 24 meters.
- The width of the path is represented by .
2. The area of a rectangle is:
Where L is the lenght and W is the width.
3. If the area of the pool and the path combined is 600 m², you can write the following expression:
4. Apply the Distributive <u>property:</u>
5. When you apply the Quadratic formula, you obtain:
Where:
Then:
Choose the positive result.
6. The answer is 3 meters.