Area of Special Quadrilaterals Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
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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

1 answer

The area of the quadrilateral can be calculated by first finding the area of the two triangles formed by the perpendicular dotted lines and then adding them together.

The area of each triangle is (1/2) * base * height. In this case, the base is 8 inches and the height is 10 inches. So the area of each triangle is (1/2) * 8 * 10 = 40 in^2.

Since there are two triangles, the total area of the quadrilateral is 2 * 40 = 80 in^2.

Therefore, the area of the quadrilateral is 80 in^2.
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