Question

Sandra has a rectangular pool in her backyard that is 9 feet long and 4 feet wide. A resort has a pool that is similar in shape, as shown. How long is the resort pool, in feet?

Answer 1

Length of the resort pool is 13.5 ft.

Explanation:

Since, both the rectangular pools are similar in shape,

Corresponding sides of these pools will be proportional.

By the property of similarity,

`\frac{\text{Length of resort pool}}{\text{Length of backyard pool}}= \frac{\text{Width of the resort pool}}{\text{Width of the backyard pool}}`

`(l)/(9)=(6)/(4)`

l =
`(6* 9)/(4)`

l = 13.5 ft

Therefore, length of the resort pool will be 13.5 ft.