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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:

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1. 

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:

[A]. 2%
[B]. 2.02%
[C]. 4%
[D]. 4.04%

Answer: Option D

Explanation:

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 = 1-sym-oparen-h1 404 x 100 1-sym-cparen-h1% = 4.04%
100 x 100
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