Question

A plate has a length 5±0.1cm and breadth 2±0.01cm find the area

Answer 1

Answer: (10 ± 0.7)

Explanation: area =LB

Δa=0.1, a=5,  Δb= 0.01,  b=2

x=LB= ab= 5x2=10

x=10

Δx/x=Δa/a + Δb/b

Δx= x[Δa/a + Δb/b]

    = 10[ 0.1/5 + 0.01/2 ]

    = 10 [ 0.02+ 0.005]

    =10[0.025]

   Δx  =0.25

therefore, area= [x±Δx]

                         = [ 10±0.25 ]

hope it helps you...

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