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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=(5.7 pm 0.1) cm`
and `b=(3.4pm0.2)cm`
Area `A=lxxb=5.7xx3.4=19.38cm^(2)`
`(DeltaA)/(A)= pm"("(Deltal)/(l)+(Delta b)/(b)")"`
`= pm "("(0.1)/(5.7)+(0.2)/(3.4)")"= pm "("(0.34+1.14)/(5.7xx3.4)")"=pm(1.48)/(19.38)`
or `Delta A = pm(1.48)/(19.38)xxA= pm (1.48)/(19.38)xx19.8=pm1.48`
`:.` Area`=(19.38 pm 1.48)` sq. cm
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