Question

A hotel has two swimming pools. Swimming pool A is designed for children ages 6 to 13 and swimming pool B is designed for people ages 14 and up. The drawing below shows the dimensions of the two pools. If the two pools are shaped like similar rectangles, what is the length of x, in feet, for Pool B?

Answer 1

The length of x for Pool B is 14 feet.

Step-by-step explanation:

To find the length of x for Pool B, we need to consider the similarity between the two rectangles representing the pools. Since the two pools are similar, their corresponding sides are proportional. Let's assume the length of x for Pool A is y. According to the diagram, the length of x for Pool A is 14 feet. Therefore, we can set up the following proportion:

14 / y = x / x

Cross-multiplying gives us:

x × 14 = x × y

Simplifying yields:

14 = y

Therefore, the length of x for Pool B is 14 feet.