Use 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

1 answer

The area of the quadrilateral can be calculated as the area of the parallelogram minus the area of the right triangle formed by the perpendicular line.

The area of the parallelogram = base x height = 14 inches x 3 inches = 42 square inches.

The area of the right triangle = (1/2) x base x height = (1/2) x 3 inches x 14 inches = 21 square inches.

Therefore, the area of the quadrilateral is 42 square inches - 21 square inches = 21 square inches.