Question

If the numerical value of the perimeter of an equilateral triangle is $\sqrt{3}$ times the area of it, then the length of each side of the triangle is

• A. 2 units
• B. 3 units
• C. 4 units
• D. 6 units

Answer 1

Answer:

C. 4 units

If the side of the equilateral triangle be x units,

then,

$3x=\sqrt{3}(\frac{\sqrt{3}}{4}x^2)$

=>3x=\frac{3x^2}{4}

$x=4units$