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The scale factor is 8:11. If the perimeter of EFG is 56 units, what is the perimeter of RTS?

User Mansour
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1 Answer

2 votes

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.

User Falkb
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8.2k points

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