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.
36 square units
72 square units
42 square units
54 square units
The area of the polygon is 54 square units.
To find the area, we need to divide the polygon into two rectangles and one triangle.
The first rectangle has a base of 5 units and a height of 6 units, so its area is 5 x 6 = 30 square units.
The second rectangle has a base of 3 units and a height of 6 units, so its area is 3 x 6 = 18 square units.
The triangle has a base of 2 units and a height of 6 units, so its area is 0.5 x 2 x 6 = 6 square units.
Adding the areas of the rectangles and the triangle together, we get 30 + 18 + 6 = 54 square units.
Therefore, the area of the polygon is 54 square units.