To find the area of the quadrilateral, you can divide it into two triangles and find the area of each triangle separately.
First, find the area of the triangle on the left side:
Area = (1/2) * base * height
Area = (1/2) * 14 * 8
Area = 56 in^2
Second, find the area of the triangle on the right side:
Area = (1/2) * base * height
Area = (1/2) * 10 * 8
Area = 40 in^2
Total area of the quadrilateral = Area of left triangle + Area of right triangle
Total area = 56 + 40 = 96 in^2
Therefore, the correct answer is not listed among the options provided. The closest answer is 102 in^2, but the correct answer based on the information provided is 96 in^2.
Area of Special Quadrilaterals Quick Check
4 of 54 of 5 Items
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
102 in.2
102 in. squared
112 in.2
112 in. squared
80 in.2
80 in. squared
140 in.2
140 in. squared
Skip to navigation
page 9 of 9
Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
1 answer