Question

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

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

Answer 1

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

Perimeter of equilateral triangle $=3\times side$

$60=3\times sides$

Side$=20$ cm

Area of equilateral triangle $=\frac{\sqrt{3}}{4}\times {\left(side\right)}^2$

$=\frac{\sqrt{3}}{4}\times 20\times 20=100\sqrt{3}c{m}^2$