Answer:
24 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is the side length )
Here A = 16[tex]\sqrt{3}[/tex] , then equating gives
[tex]\frac{s^2\sqrt{3} }{4}[/tex] = 16[tex]\sqrt{3}[/tex] ( multiply both sides by 4 to clear the fraction )
s²[tex]\sqrt{3}[/tex] = 64[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
s² = 64 ( take square root of both sides )
s = [tex]\sqrt{64}[/tex] = 8
Thus
perimeter = 3 × 8 = 24 cm
