Question

The perimeter of an equilateral triangle is $60m$, then its 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

Answer: (D)

$100\sqrt{3}{m}^2$

Perimeter of equilateral $△=3\times side$

$60=3\times sideside=20m$

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

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