Freddy has a triangular flag. He wants to cut out a similar flag that has dimensions one-third of the original flag. If the area of the original flag is 108 square inches, what is the area of the new flag that Freddy cuts out?
Answer
A. 12 in2
B. 18 in2
C. 36 in2
D. 40 in2
12 square inches
To find the area of the new flag, we need to determine the scaling factor between the original flag and the new flag. Since the new flag has dimensions one-third of the original flag, the scaling factor is 1/3.
To calculate the area of the new flag, we need to square the scaling factor since area is a two-dimensional measurement. So, (1/3)^2 = 1/9.
To find the area of the new flag, we multiply the area of the original flag by the scaling factor squared:
108 in^2 * (1/9) = 12 in^2
Therefore, the area of the new flag that Freddy cuts out is 12 in^2.
The correct answer is A. 12 in^2.