Question

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.)

Answer 1

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