3. 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 =
|
|
404
|
x 100
|
%
|
= 4.04%
|
100 x 100
|