Given,
Area of an equilateral triangle (A) = \(36\sqrt3\) cm2
To find, Perimeter of the triangle (P)
By formula,
Area of an equilateral triangle (A) = \(\frac{\sqrt3}4a^2\)
or, \(36\sqrt3\) cm2 = \(\frac{\sqrt3}4a^2\)
or, \(\frac{4\times36\sqrt3cm^2}{\sqrt3}=a^2\)
or, a2 = 144cm2
or, a2 = (12cm)2
or, a = 12
Now,
Perimeter of an equilateral triangle (P) = 3a
= 3 x 12
= 36cm