To find the area of the quadrilateral, we can divide it into two triangles and find the area of each triangle separately.
One triangle has a base of 16 inches and a height of 12 inches, while the other triangle has a base of 16 inches and a height of 4 inches (as the perpendicular line creates two right angles with the left side).
The area of the first triangle is (1/2) * base * height = (1/2) * 16 * 12 = 96 square inches.
The area of the second triangle is (1/2) * base * height = (1/2) * 16 * 4 = 32 square inches.
Therefore, the total area of the quadrilateral is 96 + 32 = 128 square inches.
Use the image to answer the question.
An illustration shows a parallelogram with the right side as 16 inches. A perpendicular dotted line from top right vertex to the left side is 12 inches. The perpendicular line makes one right angle symbol with right side and two right angle symbols with the left side.
What is the area of the quadrilateral?
1 answer