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?

Answer 1

To find the perimeter of the pool in the scale drawing, we need to first calculate the scale factor.

Scale factor = Length of pool / Length in scale drawing
Scale factor = 24 feet / 8 inches
Scale factor = 3

Now, we can find the dimensions of the pool in the scale drawing by dividing the actual dimensions by the scale factor:

Length in scale drawing = 24 feet / 3 = 8 feet
Width in scale drawing = 36 feet / 3 = 12 feet

Now, we can calculate the perimeter of the pool in the scale drawing:

Perimeter = 2(Length + Width)
Perimeter = 2(8 + 12)
Perimeter = 2(20)
Perimeter = 40 feet

Since the length in the scale drawing is 8 inches, we need to convert the feet to inches:

40 feet * 12 inches/foot = 480 inches

Therefore, the perimeter of the pool in the scale drawing is 480 inches.