What is the area of the polygon? Assume that segments that appear congruent are congruent and angles that appear to be right angles are right angles.

To find the area of a polygon, we can divide it into triangles and calculate the area of each triangle.

Let's divide the polygon into two triangles by drawing a diagonal from the top vertex to the midpoint of the bottom side.

The first triangle will have a base of 8 units and a height of 5 units. The area of the first triangle is (1/2)*base*height = (1/2)*8*5 = 20 square units.

The second triangle will have a base of 6 units and a height of 5 units. The area of the second triangle is (1/2)*base*height = (1/2)*6*5 = 15 square units.

Therefore, the total area of the polygon is 20 + 15 = 35 square units.