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
39 in.2
39 in. squared
96 in.2
96 in. squared
91 in.2
91 in. squared
78 in.2
78 in. squared
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An illustration shows a trapezoid with parallel sides on the top and bottom. The top side is 24 centimeters and bottom side is 20 centimeters. Two perpendicular dotted lines of 10 centimeters are drawn from the bottom vertices to the top side. The two perpendicular lines are denoted by 4 right angle symbols.
An illustration shows a parallelogram. The top side, slanted downward, is 10 inches. The left side is 14 inches. A dotted perpendicular line is drawn from top right vertex to the left side and labeled as 8 inches. It is denoted by one right angle symbol on the right and two right angle symbols on the left.
An illustration shows a parallelogram. The top side, slanting downward, is 5 centimeters, and the right side is 25 centimeters. A dotted perpendicular line is drawn from top right vertex to the left side and is labeled as 4 centimeters. It is denoted by two right angle symbols formed with the two sides.
The area of the trapezoid can be calculated using the formula:
Area = (1/2) * (sum of parallel sides) * (height)
In this case, the sum of the parallel sides is 10 inches + 16 inches = 26 inches. The height of the trapezoid is the segment between the two perpendicular dotted lines, which is 6 inches.
Therefore, Area = (1/2) * 26 inches * 6 inches = 78 sq. inches
So, the correct answer is:
78 in.2