Correct option is (C) 12√2
Let side of equilateral triangle is a cm.
Then \(\frac{\sqrt3}4a^2=8\sqrt3\) \((\because\) Area of equilateral triangle is \(\frac{\sqrt3}4a^2)\)
\(\therefore a^2=32\)
\(\Rightarrow a=\sqrt{16\times2}=4\sqrt2\)
\(\therefore\) Perimeter of equilateral triangle = 3a
\(=3\times4\sqrt2\) \(=12\sqrt2\,cm\)
