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. 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

Answer 1

Answer:

$\boxed{Side \ Length \ of \ hot \ tub = 4.8\ ft.}$

Step-by-step explanation:

Scale Factor = 5

Also,

B'C' = 24 feet

Since both are squares so both have all sides equal.

Sqaure A'B'C'D' is dilated by a scale factor of 5

So,

AB = BC = CD = DA = 24/5 = 4.8 ft.

Answer 2

The length of one side of the hot tub is 4.8 feet and this can be determined by using the concept of dilation.

Given :

• 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.
• Square A B C D is dilated to create square A prime B prime C prime D prime.
• The length of B prime C prime is 24 feet.

The following steps can be used in order to determine the length of one side of the hot tub:

Step 1 - According to the given data, the dilation factor is 5.

Step 2 - So, after the dilation by a factor of 'a' the length of the side be 'b' becomes 'ab'.

Step 3 - So, according to the given data, the length of B prime C prime is 24 feet. Therefore, after the dilation by a factor of 5, the length of the segment BC becomes:

$\rm =\dfrac{24}{5}=4.8\;feet$

So, the length of one side of the hot tub is 4.8 feet. Therefore, the correct option is b).

For more information, refer to the link given below:

https://brainly.com/question/2856466