ABC26GN4496 · Area

Subject: General Aptitude · Chapter: Area · Exam: 2003 · Marks: · Difficulty:

If every side of a triangle is doubled, the area of the new triangle is $K$ times the area of the old one. $K$ is equal to

(a)$\sqrt{2}$

(b)2

(c)3

(d)4

Answer

Answer (as printed): D

Explanation

$\mathrm{A}_{1}=\frac{\sqrt{3}}{2} a^{2}$ and $\mathrm{A}_{2}=\frac{\sqrt{3}}{2}(2 a)^{2}=4 \times \frac{\sqrt{3}}{2} a^{2}=4 \mathrm{A}_{1}$. $\therefore \mathrm{K}=4$.

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