# 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.∴ A

_{1}= (100 x 100) cm

^{2}and A

_{2}(102 x 102) cm

^{2}

(A

_{2}- A

_{1}) = [(102)

^{2}- (100)

^{2}]

= (102 + 100) x (102 - 100)

= 404 cm

^{2}

∴ Percentage error

$$\eqalign{ & = \left( {\frac{{404}}{{100 \times 100}} \times 100} \right)\% \cr & = 4.04\% \cr} $$

Related Questions on Area

A. 15360 m^{2}

B. 153600 m^{2}

C. 30720 m^{2}

D. 307200 m^{2}

E. None of these

A. 2%

B. 2.02%

C. 4%

D. 4.04%

E. None of these

A. 16 cm

B. 18 cm

C. 24 cm

D. Data inadequate

E. None of these

**The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:**

A. 40%

B. 42%

C. 44%

D. 46%

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