Use the image to answer the question.
An illustration shows a trapezoid with the longer side on the left labeled as 12 inches. The opposite parallel side is 10 inches. Two perpendicular dotted lines extend from the vertices at either end of the 10 inch side to the longer side, and are labeled 8 inches. The two perpendicular lines are denoted by 4 right angle symbols.
What is the area of the quadrilateral?
(1 point)
in.2
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An illustration shows a parallelogram with top side as 10 centimeters. A perpendicular dotted line from top left vertex to the bottom side is 8 centimeters. The perpendicular line makes one right angle symbol with top side and two right angle symbols with the bottom side.
An illustration shows a parallelogram with bottom side as 14 inches. A perpendicular dotted line from the bottom right vertex to the top side is 3 inches. The perpendicular line is denoted by two right angle symbols.
An illustration shows a parallelogram with top side as 7 centimeters. A perpendicular dotted line from the top left vertex to the bottom side is 12 centimeters. The perpendicular line makes one right angle symbol with the top side and two right angle symbols with the bottom side.
The area of the quadrilateral can be calculated by finding the area of the trapezoid formed by the longer side (12 inches), the opposite parallel side (10 inches), and the two perpendicular lines (8 inches).
Using the formula for the area of a trapezoid:
Area = (1/2) * (sum of parallel sides) * (height)
Area = (1/2) * (12 + 10) * 8
Area = (1/2) * 22 * 8
Area = 11 * 8
Area = 88 square inches
Therefore, the area of the quadrilateral is 88 square inches.