Question

What is the area (in m², up to 1 place of decimal) of an equilateral triangular field of side 8.5 m?
1. \(\frac{18.1}{\sqrt{3}}\)
2. 18.1√3
3. \(\frac{72.25}{\sqrt{3}}\)
4. 72.25√3

Answer 1

Correct Answer - Option 2 : 18.1√3

Given:

Length of side of an equilateral triangle is 8.5 m.

Formula used :

Area of equilateral triangle = √3/4 a² (where a is the side of the triangle)

Calculations : 

Area of triangle = (√3/4) × (8.5)²

⇒ (√3/4) 72.25

⇒ √3 × (18.06)

⇒ 18.1 √3

∴ The correct choice will be option 2.