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

42 square unit
36 square units
54 square units
72 square units

To find the area of the polygon, we need to break it down into smaller shapes that we can calculate the area of.

The polygon can be divided into two smaller rectangles and one triangle.

Rectangle 1: 6 units x 5 units = 30 square units
Rectangle 2: 6 units x 3 units = 18 square units
Triangle: (1/2) x 6 units x 6 units = 18 square units

Total area = 30 + 18 + 18 = 66 square units

So, the correct answer is not provided in the given options. The area of the polygon is 66 square units.