Area of Special Quadrilaterals Quick Check

Question

2 of 52 of 5 Items

Question
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

78 in.2
78 in. squared

39 in.2
39 in. squared

91 in.2
91 in. squared

96 in.2
96 in. squared

Answer 1

The correct response is:

96 in.2
96 in. squared

To find the area of the quadrilateral, you can divide it into two triangles by using the bottom perpendicular line as the base. The area of each triangle is (1/2) * base * height. Adding the areas of the two triangles together gives the total area of the quadrilateral. Therefore, the area is (1/2 * 6 * 10) + (1/2 * 6 * 16) = 96 in^2.