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
68 inches
The scale drawing ratio is 24 ft / 8 in = 3 ft/in.
The length of the pool in the scale drawing is 8 in, so the actual length of the pool is 8 in x 3 = 24 ft.
The width of the pool in the scale drawing is 8 in x 36 ft = 24 in.
Calculating the perimeter of the pool in the scale drawing: 24 in + 24 in + 24 in + 36 in = 108 in.
The actual perimeter of the pool is 24 ft + 24 ft + 36 ft + 36 ft = 120 ft = 120 in in the scale drawing.
Therefore, the perimeter of the pool in the scale drawing is 108 inches.