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To find the area of the composite figure, we need to divide it into smaller, simpler shapes.
The composite figure can be divided into a rectangle with dimensions 6 units by 12 units, and a triangle with base 6 units and height 4 units.
The area of the rectangle is 6 units * 12 units = 72 square units.
The area of the triangle is 1/2 * base * height = 1/2 * 6 units * 4 units = 12 square units.
Therefore, the total area of the composite figure is 72 square units + 12 square units = 84 square units.
Answer: 84 square units