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

96 in.2
96 in. squared

91 in.2
91 in. squared

39 in.2
39 in. squared

78 in.2

Answer 1

[AI-generated answer — Bot GPT 3.5]

The area of the quadrilateral can be calculated by finding the area of the trapezoid and subtracting the two triangles created on the right side.

Area of trapezoid = (a + b) * h / 2
Area of trapezoid = (10 + 16) * 6 / 2
Area of trapezoid = 26 * 6 / 2
Area of trapezoid = 156 / 2
Area of trapezoid = 78

Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 6 * 6
Area of triangle = 18

Total area = Area of trapezoid - 2( Area of triangle)
Total area = 78 - 2(18)
Total area = 78 - 36
Total area = 42

So, the area of the quadrilateral is 42 in.2.