Question

The perimeter of an equilateral triangle is $60m$. The area is

• A. $10\sqrt{3}{m}^2$
• B. $15\sqrt{3}{m}^2$
• C. $20\sqrt{3}{m}^2$
• D. $100\sqrt{3}{m}^2$

Answer 1

The correct option is D $100\sqrt{3}{m}^2$

Perimeter of a triangle $=3a=60m\Rightarrow a=20m$
Area of the triangle $=\frac{\sqrt{3}{a}^2}{4}=\frac{\sqrt{3}\left(400\right)}{4}=100\sqrt{3}{m}^2$