Answer to Question #136505 in Algebra for Miles

Question

Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth.

The diameter of a pool is 18 centimeters and the depth is 4 centimeters.
Not drawn to scale

The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool?
4.5 feet
5 feet
6 feet
6.75 feet

Answer 1

We can make a proportion:

$\frac{18 cm} {4 cm} = \frac {27 ft} {x},$

x = 6 feet.

So, the correct answer is 6 feet.