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geometry intermediate

Problem

What is the ratio of the numerical value of the area, in square units, of an equilateral triangle of side length 4 units to the numerical value of its perimeter, in units? Express your answer as a common fraction in simplest radical form.
Solution
The area of this equilateral triangle is , and the perimeter is . Thus, the ratio of area to perimeter is .
Final answer
\frac{\sqrt{3}}{3}