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

91 in.2
91 in. squared

78 in.2
78 in. squared

96 in.2
96 in. squared

39 in.2

1 answer

The area of a trapezoid can be calculated using the formula: Area = 1/2 * (sum of the lengths of parallel sides) * height.

In this case, the sum of the lengths of the parallel sides is 10 inches (left side) + 16 inches (right side) = 26 inches. The height (which is the length of the top slanting side) is 7 inches.

Plugging these values into the formula: Area = 1/2 * 26 inches * 7 inches = 91 square inches.

Therefore, the area of the quadrilateral is 91 in.².