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
Skip to navigation
To find the area of the quadrilateral, we first need to find the height of the parallelogram. The height is the length of the perpendicular line from the bottom side to the top side.
Using the Pythagorean theorem, we can find the height:
h^2 + 3^2 = 14^2
h^2 + 9 = 196
h^2 = 187
h = √187 ≈ 13.67 inches
Now we can calculate the area of the parallelogram:
Area = base x height
Area = 14 inches x 13.67 inches ≈ 191.38 in^2
Therefore, the area of the quadrilateral is approximately 191.38 square inches.