Question

If the perimeter of an equilateral triangle is 12 m, then find its area.

• A. $3\sqrt{4}m$
  
• B. $4\sqrt{3}m$
  
• C. $5\sqrt{3}m$
  
• D. $2\sqrt{5}m$
  
• E. None of these

Answer 1

The correct option is B $4\sqrt{3}m$


$3\times \left(side\right)=12\Rightarrow side=4m$
$\therefore$ Area of equilateral triangle $=\frac{\sqrt{3}}{4}(side{)}^2=\frac{\sqrt{3}}{4}\times 16=4\sqrt{3}m.$