Question

Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. 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?
a. 4.5 feet
b. 5 feet
c. 6 feet
d. 6.75 feet

Answer 1

Hi there!

To solve this problem, we can set up a proportion.

18 cm / 4 cm = 27 ft / x ft

For this problem, we need to solve for x in the proportion.
We can simplify the proportion by cross multiplying, or multiplying the numerator of the first fraction with the denominator of the second and vice versa.

18x = 4 × 27
18x = 108

Now, we divide both sides by 18 to find x.

108 ÷ 18 = 6

So, the answer is c, 6 feet.

Hope this helps!

Answer 2

Correct Answer: 
C option: 6 feet

Solution:
Since Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet. So we can write:

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
$18:4=27:x \\ \\ \frac{18}{4} = \frac{27}{x} \\ \\ x=27* \frac{4}{18} \\ \\ x=6$

This means the depth of pool should be 6 feet if Yolanda wants to keep the pool in proportion to the model.