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.
+218 It's asking for a ratio between the perimeter and area of an equilateral triangle with sides of 4 units.
So, we need to calculate both perimeter and area.
Perimeter:
4 * 3 = 12 units
Area:
\(a = {\sqrt{3} x^2 \over{4}}\)
\(={4\sqrt3}\)
Notice - it's asking for a ratio for Area to Perimeter. So the answer should have area in numerator, and perimeter in denominator.
\({4\sqrt3\over12} = {\sqrt3\over3}\)
And that's your answer.
In my solution I used the area of an equilateral equation. If you've never seen it before, research it. Google has great sources to clarify it for you.
