The length of survey line measured with a 20 m chain was found to be 327 m. If the chain was 3cm too long. Calculate the true length of the line.
A)425m
B)372 m
C)45 m
D)342 m

Question

Quizplus · Accepted Answer

The actual length of the chain used was 20.03 m (since it was 3 cm too long). The measured length was 327 m, which means it was measured as if the chain was exactly 20 m. To find the true length, we calculate the ratio of the true chain length to the nominal chain length and multiply by the measured length: $327 m \times \frac{20 m}{20.03 m} = 326.34 m$. However, none of the options exactly match this calculation due to a possible mistake in the question or in the interpretation. Among the provided options, 372 m is the closest to a reasonable recalculated value based on the premise, but it seems there's a misunderstanding or error in the calculation or options provided. The correct approach would lead to a value not listed, indicating a potential error in the question setup or answer choices.

The Length of Survey Line Measured with a 20 M