Correct answer is a) 164 ± 3
Error in product of quantities: Suppose
be the absolute error in measurement of a,
be the absolute error in measurement of b,
be the absolute error in calculation of , i.e. product of a and b.
The maximum fractional error in can be calculated as,
Percentage error in the value of is given as the sum of Percentage error in value of a and Percentage error in value of b
According to the given question, length is
Area will be
According to the norm, the area will only have three significant figures, while the error will only have one significant figure. We receive area as a result of rounding off.
If is error in the area, then relative error is calculated as .
(By rounding off to one significant figure)