Question

A rectangular pool is 24 feet in length and 36 feet in width. A scale drawing of the pool has a length of 8 inches.

What is the perimeter, in inches, of the pool in the scale drawing?
Responses

A 40 inches40 inches

B 20 inches20 inches

C 120 inches120 inches

D 68 inches

Answer 1

[AI-generated answer — Bot GPT 3.5]

B 20 inches20 inches

To find the perimeter of the pool in the scale drawing, you would first need to calculate the perimeter of the actual pool.

Perimeter = 2(length + width)
Perimeter = 2(24 + 36)
Perimeter = 2(60)
Perimeter = 120 feet

Now, since the scale drawing has a length of 8 inches, we need to calculate the scale factor to convert the actual length to the scaled length:
Scale factor = Scaled length / Actual length
Scale factor = 8 inches / 24 feet
Scale factor = 1/3

Now, multiply the actual perimeter by the scale factor to get the scaled perimeter:
Scaled perimeter = Actual perimeter * Scale factor
Scaled perimeter = 120 feet * 1/3
Scaled perimeter = 40 feet

Therefore, the perimeter of the pool in the scale drawing is 40 inches.