The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 10.4 inches and the length of each side is 12 inches. A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 12 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 10.4 inches. (Image below)
Part A: Describe how you can decompose this shape into triangles.
Part B: What would be the area of each triangle?
Part C: Using your answers above, determine the area of the table's surface.