Final answer:
To find the perimeter of RTS, we can set up a proportion using the scale factor and the perimeter of EFG. Solving the proportion will give us the perimeter of RTS.
Step-by-step explanation:
To find the perimeter of RTS, we need to determine the scale factor between EFG and RTS. Since the scale factor is 8:11, we can set up the proportion:
8 / x = 11 / 56
Cross-multiplying, we get:
8 * 56 = 11 * x
Simplifying:
448 = 11x
Dividing both sides by 11, we find that x = 448/11 = 40.7272 (rounded to 4 decimal places)
Therefore, the perimeter of RTS is approximately 40.7272 units.