se the image to answer the question.
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.
What is the area of the quadrilateral?
(1 point)
in.2
To find the area of the quadrilateral, we need to calculate the area of the two triangles formed by the perpendicular line and the sides of the parallelogram.
The area of a triangle is calculated as (base * height) / 2.
For the right triangle on the right side of the parallelogram:
Base = 14 inches
Height = 3 inches
Area = (14 * 3) / 2 = 42 / 2 = 21 square inches
For the right triangle on the left side of the parallelogram:
Base = 14 inches
Height = 3 inches
Area = (14 * 3) / 2 = 42 / 2 = 21 square inches
Total area of the quadrilateral = 21 + 21 = 42 square inches.