Aregular hexagon has sides of 2 feet. what is the area of the hexagon?

Look at the picture.

The longer diagonals of the hexagon divide it into 6 equilateral triangles.

Method 1.

Use the Pythagorean theorem to calculate the height of triangle:

Calculate the area of the triangle:

Calculate the area of the hexagon:

Method 2:

Use the formula of the area of an equilateral triangle:

Calculate the area of the hexagon:

Method 3.

Use the trigonometric function to calculate the height of a triangle:

(c, 0) i might be wrong so don't put full faith on my answer