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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1 answer

To find the area of the quadrilateral, we first need to find the height of the trapezoid. The height is the distance between the two parallel sides, which is given as 8 inches.

Next, we can calculate the area of the trapezoid using the formula: Area = (1/2) x (sum of parallel sides) x height

Area = (1/2) x (12 + 10) x 8
Area = (1/2) x 22 x 8
Area = 11 x 8
Area = 88 square inches

Therefore, the area of the quadrilateral is 88 square inches.
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