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
The area of the quadrilateral can be calculated by finding the area of the triangle formed by the perpendicular line and the top side, then subtracting it from the area of the parallelogram.
First, find the area of the triangle formed by the perpendicular line and the top side:
Area = (1/2) * base * height
Area = (1/2) * 7 cm * 12 cm
Area = 42 cm^2
Next, find the area of the parallelogram:
Area = base * height
Area = 7 cm * 12 cm
Area = 84 cm^2
Now, subtract the area of the triangle from the area of the parallelogram:
84 cm^2 - 42 cm^2 = 42 cm^2
Therefore, the area of the quadrilateral is 42 cm^2.