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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.power2

1 answer

The area of the quadrilateral can be calculated using the formula for the area of a trapezoid, which is (1/2) * (sum of the lengths of the two parallel sides) * (height).

In this case, the sum of the lengths of the two parallel sides is 12 inches + 10 inches = 22 inches.

And the height of the trapezoid is given as 8 inches.

Plugging these values into the formula, we get:
Area = (1/2) * 22 inches * 8 inches
Area = 11 inches * 8 inches
Area = 88 square inches

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