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The length of a line measured by means of a 20 m chain was found to be 610.2 m known to be 612.0 m. What was the actual length of chain?

The length of a line measured by means of a 20 m chain was found to be 610.2 m known to be 612.0 m. What was the actual length of chain? Correct Answer 20.066 m

Concept:

The actual length of the line is measured by;

True length = (actual chain length/True chain length) × measured length

True length (l) × True chain length (L) = actual chain length (L') × measured length (l')

Calculation:

Given data,

L = 20 m, L' = ?, l' = 610.2 m m, l = 612 m

∵ We know that, 

True length (l) × True chain length (L) = actual chain length (L') × measured length (l')

612 × 20 = L' × 610.2

Actual chain length (L') = 20.06 m

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