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

1 answer

The scale ratio of the drawing is 24 feet (actual length) to 8 inches (drawing length), or 24:8.

To find the perimeter in the scale drawing, we need to use the scale ratio to find the corresponding length and width in inches.

Length in the scale drawing:
24 feet * (8 inches / 24 feet) = 8 inches

Width in the scale drawing:
36 feet * (8 inches / 24 feet) = 12 inches

Now, we can find the perimeter of the pool in the scale drawing:
Perimeter = 2(Length + Width)
Perimeter = 2(8 inches + 12 inches)
Perimeter = 2(20 inches)
Perimeter = 40 inches

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