Which of the four options provided below will be the closest to the area of an equilateral triangle, each of whose sides is 10 m long?

Correct option is C

Given: 

Side of equilateral triangle  = 10 m

Formula used: 

the area of an equilateral triangle  $$A = \frac{\sqrt{3}}{4} s^2$$

where s is the length of the side. 

Solution: 

the area of an equilateral triangle $$A = \frac{\sqrt{3}}{4} s^2$$ 

Substitute the value of $s=10$ meters into the formula:

$$A = \frac{\sqrt{3}}{4} \times 10^2$$ 

$$A = \frac{\sqrt{3}}{4} \times 100 = 25\sqrt{3}$$ 

​Since

$$\sqrt3$$​ ≈1.732, we can substitute this value:

A = 25 × 1.732

A = 43.3 sq m 

The area of the equilateral triangle is approximately 43.25  square meters.