1. Use the diagram of the regular hexagon to support an explanation showing why the formula accurately yields the area of the hexagon. (Recall that a is the apothem and P is the perimeter of the hexagon.)
a regular hexagon is made of 6 identical triangles with the apothem as the height of the triangle
A = 6 * 1/2 base * apothem
which can be simplified to
A = 1/2 perimeter * apothem
This should be enough information for you to solve the equation