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.

Guest Dec 23, 2021

#1**+1 **

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.

MathyGoo13 Dec 23, 2021