The area of the quadrilateral can be calculated by finding the area of the triangle formed by the perpendicular line and the top side of the parallelogram, and then doubling it since the parallelogram is made up of two congruent triangles.
The area of the triangle is (1/2) * base * height = (1/2) * 10 cm * 8 cm = 40 cm2
Since the parallelogram is made up of two of these triangles, the total area is 2 * 40 cm2 = 80 cm2
Therefore, the area of the quadrilateral is 80 cm2.
Area of Special Quadrilaterals Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Use the image to answer the question.
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.
What is the area of the quadrilateral?
(1 point)
cm2
Skip to navigation
1 answer
1 answer