The length and breadth of a rectangular sheet are $16.2 cm$ and $10.1 cm$, respectively. The area of the sheet in appropriate significant figures and error is

Given length and breadth of a rectangular sheet measured by using a meter scale are $16.2 cm$ and $10.1 cm$ respectively. Each measurement has three significant figures.

$\therefore$ Length $l$ can be written as

       $l=16.2\pm 0.1 cm=16.2cm\pm 0.6\%$

Similarly, the breadth $b$ can be written as

       $b=10.1\pm 0.1 cm=10.1 cm\pm 2.6 c{m}^2$

Therefore, as per rule, area will have only three significant figures and error will have only one significant figure. Rounding off, we get $A=164\pm 3 c{m}^2$.