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 top side as 6 centimeters and bottom side as 10 centimeters. Two perpendicular dotted lines extend from the top vertices to the bottom side and are labeled 6 centimeters each. The two perpendicular lines are denoted by 4 right angle symbols.

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.

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.

Question

Use the image to answer the question.

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.

What is the area of the quadrilateral?
(1 point)
cm2

1 answer

The area of the quadrilateral is 84 square centimeters.

To find the area of a parallelogram, you can use the formula: Area = base x height. In this case, the base is the top side of the parallelogram, which is 7 centimeters, and the height is the perpendicular line from the top left vertex to the bottom side, which is 12 centimeters.

So, Area = 7 cm x 12 cm = 84 cm2.
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