What will be the percentage of error in calculated area of the square, if the error of measuring in sides by 2% in excess?
Option:
A. 1.02%
B. 1.04%
C. 4.00%
D. 4.04%
Answer: D . 4.04%
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Justification:
Side of the square = x
Errored side of the square y = (1.02)x
Error in the area (in percentage) = ((((1.02)x)^2 - x^2 ) / x^2)*100% = ((1.02)^2 - 1)*100 = (1.0404 - 1)*100 = 0.0404*100
=> 4.04%
