SSC CGL 2024 PYQ — Question 66

The correct answer is Option 4 i.e. $36\sqrt{3}$.

Since the perimeter of the triangle is 36 units and an equilateral triangle has three equal sides,

Let the length of each side be s

⇒ 3s = 36

⇒ s = 36/3

⇒ s = 12 units

We know that,

The area of equilateral triangle = ${\sqrt3 \over4 }s^2$

⇒ ${\sqrt3 \over4 } \times 12^2$

⇒ ${\sqrt3 \over4 } \times 144$

⇒ $36 \sqrt 3$

Thus, the area of the equilateral triangle is $36 \sqrt 3$ square units