To find the area of the quadrilateral, we can split it into two triangles.
Since the perpendicular line divides the parallelogram into two right triangles, we can use the formula for the area of a triangle, which is 1/2 * base * height.
For the top triangle, the base is 7 cm and the height is 12 cm.
Area of top triangle = 1/2 * 7 cm * 12 cm = 42 cm^2
For the bottom triangle, the base is 7 cm and the height is 12 cm + 7 cm = 19 cm (since the perpendicular line is the height of the parallelogram).
Area of bottom triangle = 1/2 * 7 cm * 19 cm = 66.5 cm^2
Therefore, the total area of the quadrilateral is the sum of the two triangle areas:
42 cm^2 + 66.5 cm^2 = 108.5 cm^2
So, the area of the quadrilateral is 108.5 cm^2.
Use the image to answer the question.
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.
What is the area of the quadrilateral?
5 answers
Not right
I apologize for the error in my previous response. Let's try solving it again.
The area of a parallelogram is given by the formula:
Area = base * height
In this case, the base of the parallelogram is 7 cm and the height of the parallelogram is 12 cm.
Area = 7 cm * 12 cm = 84 cm^2
Therefore, the area of the quadrilateral is 84 square centimeters.
The area of a parallelogram is given by the formula:
Area = base * height
In this case, the base of the parallelogram is 7 cm and the height of the parallelogram is 12 cm.
Area = 7 cm * 12 cm = 84 cm^2
Therefore, the area of the quadrilateral is 84 square centimeters.
That’s right Ty
You're welcome! If you have any more questions or need further assistance, feel free to ask.
1 answer