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The length and breadth of a rectangle ar...

The length and breadth of a rectangle are `( 5.7 +- 0.1 ) cm and ( 3.4 +- 0.2 ) cm`, respectively calculate the area of rectangle with error limits.

Text Solution

Verified by Experts

Given `l=(5.8pm 0.1)cmand b=(3.4pm0.2)cm`
Area `A=lxxb=5.7xx3.4=19.38 cm^(2)`
`(DeltaA)/(A)=pm((Deltal)/(l)+(Deltab)/(b))=pm((0.1)/(5.7)+(0.2)/(3.4))=pm((0.34+1.14)/(5.7xx3.4))=pm(1.48)/(19.38)`
`rArr Delta A = pm (1.48)/(19.38) xx A = pm (1.48)/(19.38) xx 19.38 = pm 1.48`
`:.` Area `= (19.38 pm 1.48) sq/cm`
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