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%
E. None of these
Answer: Option D
Solution(By Examveda Team)
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
$$\eqalign{ & = \left( {\frac{{404}}{{100 \times 100}} \times 100} \right)\% \cr & = 4.04\% \cr} $$
E2- O2/O2*100=4.04
E2=EORROR SQUAR
O2 =ORIGINAL SQUAR
* =MULTIPLICATION
/=DEVIDE
100 original, error 102
Thank you sir