The area of a regular triangle is 4√3. Find its perimeter.

As we know from the school geometry course, the area of this type of triangles can be calculated using the following formula:

√3a ^ 2/4, where a is, respectively, the side of the figure.

Let us determine how many conventional units the length of the side is expressed if from the condition of the task we know that the area of our geometric figure is 4√3 square conventional units:

√3а ^ 2/4 = 4√3;

a ^ 2 = 16;

a1 = 4;

a2 = -4 (not suitable).

Let’s find out what the perimeter of such a figure will be:

4 * 3 = 12.

Answer: 12 conventional units.