Answer:
18 square units
Explanation:
The parallelogram has been plotted in the attached figure
The area of a parallelogram is b x h
where b is one side and h is the vertical distance between the two bases
In the figure, we see that base = AB is parallel to the y-axis
This means the y-coordinates of A and B are the same and the distance is obtained by taking the absolute difference between the x-coordinates of A and B
b = |x1 - 2| = |6 - 0| = 6
The height h is a perpendicular line from point D(1, 3) to the base which touches the base at point E
Since this line is horizontal to the x-axis in the figure, the y coordinates of the endpoints of the line are the same i.e y1 =3 and y2 = 3
Therefore h = absolute difference between the x coordinates
= |1-4| = 3
Given b = 6, h = 3
area = 6x 3 = 18 square units