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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To find the area of the quadrilateral, we need to find the area of the trapezoid.
The formula for the area of a trapezoid is: (1/2) * (a + b) * h, where a and b are the two parallel sides, and h is the height (the distance between the two parallel sides).
In this case, the two parallel sides are 12 inches and 10 inches, and the height is 8 inches.
Plugging these values into the formula, we get:
(1/2) * (12 + 10) * 8 = (1/2) * 22 * 8 = 11 * 8 = 88
Therefore, the area of the quadrilateral is 88 square inches.