Question

Question 2
The perimeter of an equilateral triangle is 60m. The area is

Answer 1

Let each side of an equilateral be x.
Then, perimeter of an equilateral triangle = 60m
$\therefore x+x+x=60\Rightarrow 3x=60\Rightarrow x=\frac{60}{3}=20m$
Area of an equilateral triangle $=\frac{\sqrt{3}}{4}(side{)}^2=\frac{\sqrt{3}}{4}\times 20\times 20=100\sqrt{3}{m}^2$
Thus, the area of triangle is $100\sqrt{3}{m}^2$