Question

The ratio between the area of a square of side $a$ and an equilateral triangle of side $a$ is

• A. 3 : 4
• B. $4:\sqrt{3}$
• C. $\sqrt{3}:4$
• D. None of these

Answer 1

Answer: (B)

$4:\sqrt{3}$

The ratio between the area of a square of side a and an equilateral triangle of side a
$=a^2:\frac{\sqrt{3}}{4}{a}^2$

$=1:\frac{\sqrt{3}}{4}=4:\sqrt{3}$

$\therefore$ The required ratio is $4:\sqrt{3}$