To find the area of the quadrilateral, we can split it into two triangles. The dotted line creates two right triangles, each with a base of 8 inches and a height of 10 inches.
The area of each triangle is (1/2) * base * height = (1/2) * 8 * 10 = 40 in^2
Since there are two triangles, the total area of the quadrilateral is 2 * 40 in^2 = 80 in^2
Therefore, the correct answer is:
80 in.2
Area of Special Quadrilaterals Quick Check
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Question
Use the image to answer the question.
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.
What is the area of the quadrilateral?
(1 point)
Responses
112 in.2
112 in. squared
140 in.2
140 in. squared
102 in.2
102 in. squared
80 in.2
80 in. squared
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1 answer