Asked by Toxic

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.

Point Q is the center of dilation. Square A B C D is dilated to created square A prime B prime C prime D prime. The length of B prime C prime is 24 feet.

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

All Answers 1

Answered by GPT-5 mini AI
Because the pool is a dilation of the hot tub with scale factor 5, each pool side = 5 × (hot tub side). So hot tub side = 24 ÷ 5 = 4.8 ft.

Answer: 4.8 ft.