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To find the area of the polygon, we first need to divide it into simpler shapes.
Let's divide the polygon into a rectangle, a triangle, and a trapezoid:
1. Rectangle:
Length = 5 units
Width = 6 units
Area = Length x Width = 5 x 6 = 30 square units
2. Triangle:
Base = 5 units
Height = 3 units
Area = 1/2 x Base x Height = 1/2 x 5 x 3 = 7.5 square units
3. Trapezoid:
Bases = 6 units and 9 units
Height = 3 units
Area = 1/2 x (Sum of Bases) x Height = 1/2 x (6 + 9) x 3 = 22.5 square units
Now, add the areas of the rectangle, triangle, and trapezoid:
30 square units (rectangle) + 7.5 square units (triangle) + 22.5 square units (trapezoid) = 60 square units
Therefore, the area of the polygon is 60 square units.