The 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 area, in square inches, of the pool in the scale drawing?

Question

Responses
A 72
B 96
C 40
D 864

Answer 1

B) 96 square inches

To find the area in the scale drawing, we need to determine the scale factor first. Since the actual length of the pool is 24 feet and the length in the scale drawing is 8 inches, the scale factor is 24 feet divided by 8 inches, which is 3.

Now, we can find the area in the scale drawing by multiplying the actual area of the pool by the square of the scale factor (since area is in square units). The actual area of the pool is 24 feet x 36 feet = 864 square feet.

So, the area in the scale drawing is 864 square feet x (3)^2 = 864 square feet x 9 = 7776 square feet.

This equals 96 square inches.