Answer:
Length of the resort pool is 13.5 ft.
Step-by-step explanation:
Since, both the rectangular pools are similar in shape,
Corresponding sides of these pools will be proportional.
By the property of similarity,
[tex]\frac{\text{Length of resort pool}}{\text{Length of backyard pool}}= \frac{\text{Width of the resort pool}}{\text{Width of the backyard pool}}[/tex]
[tex]\frac{l}{9}=\frac{6}{4}[/tex]
l = [tex]\frac{6\times 9}{4}[/tex]
l = 13.5 ft
Therefore, length of the resort pool will be 13.5 ft.
