an equilateral triangle has all three sides equal

area = 1/2(bh) where 'b' is the base and 'h' is the height

height is one leg of an right triangle with hypotenuse 'b' and one leg 'b/2'

b^2 = (b/2)^2 + h^2

h = sqrt(b^2 - b^2/4) = b(sqrt(3)/2)

therefore, the height of an equilateral triangle = (sqrt(3)/2) * b

16^3 = (1/2)(b)(sqrt(3)/2)b

solving for 'b' we have b=97.26

perimeter = 3*b = 291.77

the perimeter of the triangle is approximately 292 cm