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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.