Error multiplication

In measuring the sides of a rectangle errors of 5% and 3% in excess are made. Find the error percent in the calculated area .

Correct answer:

r3 =  8.15 %

Step-by-step explanation:

r1=100%+5%=1+1005=1.05 r2=100%+3%=1+1003=1.03  S = ab S2 = (a r1) (b r2) = r1 r2   (a b) = r1 r2 S  r3 = 100   SS2S r3 = 100   Sr1 r2 SS  r3=100 (r1 r21)=100 (1.05 1.031)=8.15%

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