ABC26GN4421 · Area
Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
An error of 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
Explanation
100 cm is read as 102 cm. $\therefore A_{1}=(100 \times 100) \mathrm{cm}^{2}$ and $A_{2}=(102 \times 102) \mathrm{cm}^{2}$. $$\begin{aligned} \left(A_{2}-A_{1}\right) & =\left[(102)^{2}-(100)^{2}\right]=(102+100)(102-100) \\ & =404 \mathrm{cm}^{2} . \end{aligned}$$ ∴ Percentage error $=\left(\frac{404}{100 \times 100} \times 100\right) \%=4.04 \%$.
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