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
A 78 in.^2
B 39 in.^2
C 96 in.^2
D 91 in.^2
To find the area of the quadrilateral, we can use the formula for the area of a trapezoid:
Area = (1/2) * (b1 + b2) * h
Where b1 and b2 are the lengths of the parallel sides and h is the height (the slanting side).
Plugging in the values:
Area = (1/2) * (10 + 16) * 7
Area = (1/2) * 26 * 7
Area = 13 * 7
Area = 91 square inches
Therefore, the area of the quadrilateral is 91 in^2.
The correct answer is D) 91 in^2.