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Question

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:

Options:
A .  2%
B .  2.02%
C .  4%
D .  4.04%
E .  None of these
Answer: Option D
 -  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 =   404 x 100 % = 4.04% 100 x 100

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