Use the image to answer the question.
An illustration shows a trapezoid with parallel sides on the left and right. The left side is 10 inches and right side is 16 inches. The top slanting side is labeled 7 inches. Two perpendicular dotted lines of 6 inches each are drawn from the top and bottom left vertices to the right side.
What is the area of the quadrilateral?
(1 point)
Responses
96 in.2
96 in. squared
39 in.2
39 in. squared
91 in.2
91 in. squared
78 in.2
78 in. squared
Skip to navigation
The area of the quadrilateral can be determined by dividing it into two triangles and finding the area of each triangle separately.
The area of the first triangle is (1/2) x base x height = (1/2) x 6 x 10 = 30 square inches.
The area of the second triangle is (1/2) x base x height = (1/2) x 6 x 16 = 48 square inches.
Adding the areas of both triangles together:
30 + 48 = 78 square inches.
So, the area of the quadrilateral is 78 square inches.
Therefore, the correct answer is: 78 in.2