3. Use the diagram of a REGULAR HEXAGON and follow these steps to solve for the area of a hexagon with sides equal to 4 cm. Leave radicals in your answers.

How many equilateral triangles are there? _
If we cut an equilateral down the middle (green line) what special triangle do you create? _
Sketch and label all side lengths of the 30-60-90 triangle by itself below.
What is the length of the short side of one 30-60-90 triangle? _
What is the length of the hypotenuse of one 30-60-90 triangle? _
Apply properties of 30-60-90 triangles to calculate the long leg: ¬¬¬¬_
What is the vocabulary word for the long side of the 30-60-90 called in the polygon (green line)? _
What is the height of the equilateral triangle? _
Apply triangle area formula to calculate the area of one equilateral triangle: _
Calculate the area of the complete hexagon by multiplying area of one equilateral triangle by # of triangles: _