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
39 in.^2
96 in.^2
91 in.^2
91 in. squared
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To find the area of the trapezoid, you can split it into two triangles and one rectangle.
First, find the area of the two triangles:
Area of the triangle = (base * height) / 2
Triangle 1: (6 * 10) / 2 = 30 square inches
Triangle 2: (6 * 16) / 2 = 48 square inches
Next, find the area of the rectangle:
Area of the rectangle = width * height = 10 * 6 = 60 square inches
Now, add the areas of the two triangles and the rectangle to find the total area:
30 + 48 + 60 = 138 square inches
Therefore, the correct answer is not listed in the choices provided.