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
80 in.2
80 in. squared
112 in.2
112 in. squared
102 in.2
102 in. squared
140 in.2
140 in. squared
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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 quadrilateral is 80 in.2.
To calculate the area of a parallelogram, you use the formula: Area = base x height.
In this case, the base is 14 inches and the height is 8 inches.
Area = 14 inches x 8 inches = 112 square inches.
Since it is a quadrilateral, you divide the area by 2 to get the area of the parallelogram.
112 square inches / 2 = 56 square inches.
Therefore, the area of the quadrilateral is 80 in.2.