3 of 53 of 5 Items Question The area of a rectangular swimming pool is 10x2 – 19x – 15. The length of the pool is 5x + 3. What is the width of the pool? (1 point) Responses 2x – 18 2 x – 18 2x – 5 2 x – 5 5x – 5 5 x – 5 5x – 22 5 x – 22 Skip to navigation
To find the width of the pool, we need to divide the area by the length:
(width) = (area)/(length)
Given that the area is 10x^2 - 19x - 15 and the length is 5x + 3, we can divide the area by the length:
(width) = (10x^2 - 19x - 15)/(5x + 3)
To find the width, we need to divide the area polynomial by the length polynomial using polynomial long division:
2x - 5
_______________
5x + 3 | 10x^2 - 19x - 15
- (10x^2 + 6x)
_____________
- 25x - 15
- (- 25x - 15)
___________
0
Therefore, the width of the pool is 2x - 5. So, option 2 (2x - 5) is the correct answer.