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

Option :

Explanation:

Solution:
100 cm is read as 102 cm.
∴ A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.
(A2 - A1) = [(102)2 - (100)2]

= (102 + 100) x (102 - 100)

= 404 cm2.
∴ Percentage error =
$\left(\frac{404}{100×100}×100\right)\mathrm{%}=4.04\mathrm{%}$