What is the ratio of the numerical value of the area, in square units, of an equilateral triangle of side length 8 units to the numerical value of its perimeter, in units? Express your answer as a common fraction in simplest radical form.
The area of the equilateral triangle with a side of 8 units is given by :
(1/2)* 8^2* [√3]/ 2 = 64√3
The perimeter is 3 * 8 = 24
So the ratio is:
64√3 / 24 = [8√3] / 3
The answer is \(\frac{\sqrt[2]{3}}{3}\)
+1314 
