Remember that sides AC and EG will correspond. By finding the ratio of the lengths of these sides, we can find the length of EF. The ratio of 4 to 16 simplifies to 1:4. This means that every side in ABDC is 1/4th of its corresponding side in EFHG. 16 times 4 is 64, so EF has a length of 64 units.
The question is incorrect because of the apparent contradiction the question makes. First statement says that a quantity S is equal to quantity r. The second statement says that S = 174r. Moreover, the quantity C is not correctly linked with the equation. Please either correct the question or explain the ambiguity.
