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An error 2% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Options:
A .  4.04 %
B .  2.02 %
C .  4 %
D .  2 %
Answer: Option A

Answer : Option A

Explanation :

Error = 2% while measuring the side of a square.
Let the correct value of the side of the square = 100

$MF#%\text{Then the measured value = }100 \times \dfrac{(100 + 2)}{100} = 102 \text{ (∵ error 2% in excess)}$MF#%


Correct Value of the area of the square = 100 × 100 = 10000
Calculated Value of the area of the square = 102 × 102 = 10404
Error = 10404 - 10000 = 404

$MF#%\text{Percentage Error = }\dfrac{\text{Error}}{\text{Actual Value}}\times 100 = \dfrac{404}{10000}\times 100 = 4.04\%$MF#%



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