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Question

An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

A
2%
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B
2.02%
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C
4%
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D
4.04%
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Solution

The correct option is D 4.04%
Let the correct side of the square be x cm.
Then, incorrect side =x+2100x=1.02x
Correct area =x2
Incorrect area =(1.02x)2=1.0404x2
% Error =(1.0404x2x2x2×100)%
=(0.0404×100)%
=4.04%

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