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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:

2%
2.02%
4%
4.04%
Explanation:

100 cm is read as 102 cm.

$\therefore$ A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.

(A2 - A1) = [(102)2 - (100)2]

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

= 404 cm2.

$\therefore$ Percentage error =$ \left(\dfrac{404}{100 \times 100} \times 100\right) $%= 4.04%
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