The area of an equilateral triangle is 64. Find its perimeter.

From the condition we know that the area of an equilateral triangle is 64. In order to find the perimeter of a triangle, let’s first of all find the side of the rectangle.

To do this, recall the formula for finding the area of an equilateral triangle.

S = a ^ 2√3 / 4;

Let’s plug in the known values and solve the resulting equation:

a ^ 2√3 / 4 = 64;

We are looking for an unknown factor:

a ^ 2 = 64 * 4 / √3 = 256 / √3;

a = √ (256 / √3);

a = 16 / 4√3;

Find the perimeter of an equilateral triangle:

P = 3a = 3 * 16 / 4√3 = 16 * 4√27.