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?
Error = 2% while measuring the side of a square.
Let the correct value of the side of the square = 100
Then the measured value =
100
×
(
100
+
2
)
100
=
102
(∵ error 2% in excess)
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
Percentage Error =
Error
Actual Value
×
100
=
404
10000
×
100
=
4.04
%
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