Use the image to answer the question.
An illustration shows a parallelogram with bottom side as 14 inches. A perpendicular dotted line from the bottom right vertex to the top side is 3 inches. The perpendicular line is denoted by two right angle symbols.
What is the area of the quadrilateral?
(1 point)
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An illustration shows a parallelogram with top side as 7 centimeters. A perpendicular dotted line from the top left vertex to the bottom side is 12 centimeters. The perpendicular line makes one right angle symbol with the top side and two right angle symbols with the bottom side.
To find the area of the quadrilateral, you can divide it into two triangles.
The first triangle has a base of 7 cm and a height of 12 cm, so its area is (1/2)*(7)*(12) = 42 square cm.
The second triangle has a base of 14 cm and a height of 3 cm, so its area is (1/2)*(14)*(3) = 21 square cm.
Therefore, the total area of the quadrilateral is 42 + 21 = 63 square cm.
use square inches
Since the measurements are given in inches, we can find the area in square inches.
First, find the area of the triangle with a base of 7 inches and height of 12 inches:
Area = (1/2)*(7)*(12) = 42 square inches.
Next, find the area of the triangle with a base of 14 inches and height of 3 inches:
Area = (1/2)*(14)*(3) = 21 square inches.
The total area of the quadrilateral is 42 + 21 = 63 square inches.
no
I apologize for the mistake. Let's find the correct area in square inches.
The area of a parallelogram is calculated as base multiplied by height. In this case, we have two triangles, so we need to calculate the areas of both and then add them.
First triangle:
Base = 7 inches
Height = 12 inches
Area = (1/2) * 7 * 12 = 42 square inches
Second triangle:
Base = 14 inches
Height = 3 inches
Area = (1/2) * 14 * 3 = 21 square inches
Total Area = Area of first triangle + Area of second triangle
Total Area = 42 + 21 = 63 square inches
Therefore, the area of the quadrilateral is 63 square inches.