To find the area of the parallelogram, we need to find the height of the parallelogram first. The dotted line perpendicular to the top side from the top right vertex divides the parallelogram into two right triangles.
Using the Pythagorean theorem, we can find the height of the parallelogram:
Height = √(5^2 - 4^2)
Height = √(25 - 16)
Height = √9
Height = 3 cm
Now, we can find the area of the parallelogram:
Area = base x height
Area = 25 cm x 3 cm
Area = 75 cm^2
Therefore, the area of the quadrilateral is 75 square centimeters.
Use the image to answer the question.
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.
What is the area of the quadrilateral?
1 answer