Given,
The base is

The height is

To find: Area of each triangle and the area of the table surface.
Solution:
Draw a line from each vertex to the vertex on the opposite side of the hexagon, you will form 6 triangles.
The area of each triangle is calculated by the formula.

Put the given values in the formula.

Thus, the area of each triangle is 43.5 in.^2
Now, the area of the table surface is

Thus, the area of the table surface is 261 in.^2.