Find the area of an equilateral triangle whose side is 8 m. Give your answer correct to two decimal places.

Given,

Side of equilateral triangle = 8 m.

We know that,

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

Substituting the values we get,

$A = \dfrac{\sqrt{3}}{4} \times (8)^2 \\[1em] = \dfrac{\sqrt{3}}{4} \times 64 \\[1em] = 16\sqrt{3} \\[1em] = 16 \times 1.732 \\[1em] = 27.71$

Hence, area of equilateral triangle = 27.71 m².