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The lengths and breadth of a rectangle are `(5.7 +- 0.1)cm and (2.4 +- 0.2)` cm. Calculate area of the rectangle with error limits. |
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Answer» Correct Answer - `(13.7 +- 1.4)sq. cm` Here, `I = (5.7 +- 0.1)cm, b = (2.4 +- 0.2)cm` `A = Ixxb =5.7xx2.4 = 13.68sq. Cm.` = 13.7sq.cm `(DeltaA)/(A) = +- ((DeltaI)/(I) +(Deltab)/(b)) =+-((0.1)/(5.7) +(0.2)/(2.4))` `=+-(0.0175+0.0833)` `DeltaA =+-(0.1008)xx13.7 = +-1.38sq.cm.` `+- 1.4sq. cm` Hence area = (1.37+- 1.4)sq. cm |
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