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
B 20 inches20 inches
Since the scale drawing has a length of 8 inches, you scale the actual length by 3 to get the perimeter of the scale drawing.
24 feet * (3 inches/1 foot) = 72 inches
36 feet * (3 inches/1 foot) = 108 inches
Therefore, the scale drawing perimeter is:
Perimeter = 2(72 inches) + 2(108 inches) = 144 inches + 216 inches = 360 inches
360 inches scaled down by the 3 ratio from the actual size to the scale drawing = 120 inches.