First, calculate the area of the trapezoid using the formula: A = 1/2*(a+b)*h, where a and b are the lengths of the parallel sides and h is the height.
A = 1/2*(10 + 16)*7
A = 1/2*(26)*7
A = 1/2*182
A = 91
Then, calculate the area of the two triangles formed inside the trapezoid by the perpendicular lines:
Triangle 1: A = 1/2*6*10 = 30
Triangle 2: A = 1/2*6*16 = 48
Now, subtract the areas of the two triangles from the trapezoid to get the area of the quadrilateral:
91 - 30 - 48 = 13
Therefore, the area of the quadrilateral is 91 in. squared.
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
91 in.2
91 in. squared
96 in.2
96 in. squared
78 in.2
78 in. squared
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1 answer