If the sides of a square be doubled find the increase of percentage in area. · ABC26GN4420

Subject: General Aptitude · Chapter: Area · Exam: P.C.S. 2008

If the sides of a square be doubled find the increase of percentage in area.
(a)100\%
(b)200\%
(c)300\%
(d)400\%
Answer
Answer (as printed): C
Explanation
$A_{1}=x^{2}$ and $A_{2}(2 x)^{2}=4 x^{2}$. Increase in area $=\left(4 x^{2}-x^{2}\right)=3 x^{2}$. Increase $\%=\left(\frac{3 x^{2}}{x^{2}} \times 100\right) \%=300 \%$.

Explanation as extracted from the printed page; notation may be imperfect.

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