Question

What is the true area (in acres), If the area calculated by a chain which is found to be 0.8 link too long is 100 acres?

• A.
  $98.4$
• B.
  $100.8$
• C.
  $101.6$
• D.
  $99.2$

Answer 1

The correct option is C

$101.6$
Since the length of tape is 0.8 link too short hence measured length will be less than the actual length.Hence correction will be positive.


1 chain length 100 links.

So correction is one chain length $=+\frac{0.8link}{100link}=+\frac{8}{1000}\text{Corrected chain length}=(1+\frac{8}{1000})\text{So corrected area}=100{(1+\frac{8}{1000})}^2=100(1+\frac{8^2}{{10}^6}+\frac{2\times 8}{1000})=1000(1+\frac{16}{1000})=\frac{1016}{10}=101.6acre$