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The length and breadth of a rectangular ...

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

A

`164+-3 cm^(2)`

B

`163.62+-2.6 cm^(2)`

C

`163.6+-2.6 cm^(2)`

D

`163.62+-3 cm^(2)`

Text Solution

Verified by Experts

length `l=(16.2+-0.1) cm`
Breadth `b=(10.1+-0.1) cm`
Area `A=lxxb`
`=(162.2 cm)xx(10.1 cm)=163.62 cm^(2)`
Rounding off to three significant figures
`A=164 cm^(2)`
`(DeltaA)/(A)=(Deltal)/(l)+(Deltab)/(b)=(0.1)/(162.2)+(0.1)/(10.1)`
`=(1.01+1.62)/(1.62xx10.1)=(2.63)/(163.62)=2.63 cm^(2)`
`DeltaA3 cm^(2)` ( (By rounding off to one significant figure)
Area `A=A+-DeltaA=(164+-3)cm^(2)`
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