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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
91 in.2
91 in. squared
96 in.2
96 in. squared
39 in.2
39 in. squared
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The area of the trapezoid can be calculated using the formula: A = (a + b) * h / 2 where a and b are the lengths of the parallel sides, and h is the height (the perpendicular distance between the two parallel sides).
In this case, a = 10 inches, b = 16 inches, and h = 6 inches.
Therefore, A = (10 + 16) * 6 / 2 = 78 in. squared
So, the correct answer is:
78 in.2
78 in. squared