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The area of the quadrilateral can be calculated using the formula: Area = base * height.
In this case, the base of the quadrilateral is the right side, which is 16 inches. The height is the perpendicular distance from the top right vertex to the left side, which is 12 inches.
Therefore, the area of the quadrilateral is: 16 inches * 12 inches = 192 square inches.
So, the area of the quadrilateral is 192 in^2.