Question

ricardo has a square hot tub. he wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.

if the pool is to be 24 ft on each side, what is the length of one side of the hot tub?

4 ft
4.8 ft
6 ft
7.2 ft

Explanation:

Identify the dilation formula

$$ \text{Side of Pool} = \text{Scale Factor} \times \text{Side of Hot Tub} $$

Substitute the given values

$$ 24 = 5 \times x $$

Solve for the unknown side length

$$ x = \frac{24}{5} = 4.8\text{ ft} $$

Answer:

• (A) 4 ft
• (B) 4.8 ft (Correct answer)
• (C) 6 ft
• (D) 7.2 ft