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The length and breath of a recantangular...

The length and breath of a recantangular object are `25.2cm` and `16.8cm` respecitively and have been measured to an accuracy of `0.1cm`. Relative error and percentage error in the area of the object are

A

`4%`

B

`3%`

C

`2%`

D

`1%`

Text Solution

Verified by Experts

The correct Answer is:
D
Area `A=lxxb`
`l=25.2 cm and Deltal=0.1cm" "b=16.8 cm and Deltab=0.1 cm`
`therefore" Relative error in area "((DeltaA)/(A))=((Deltal)/(l))+((Deltab)/(b))=((0.1)/(25.2))+((0.1)/(16.8))=0.004+0.006=0.01`
`((DeltaA)/(A))100=0.01xx100`
`"Percentage = 1%"`
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