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% |