Me the vertices of a parallelogram are at (4, 1) , (10, 1) , (8, −4) , and (2, −4).what is the area of the parallelogram?

30 square units. The area of a parallelogram is A= bh where A = area b = base h = height Any side of a parallelogram can be used as the base. The height of a parallelogram is a perpendicular line from the base to the opposite side of the parallelogram. If needed, you can replace the opposite line segment with a line that overlays the line segment and continues to infinity in both directions. Given the 4 points, the line segments (4,1) to (10,1) and (8,-4) to (2,-4) are the most interesting. Both of those lines have a slope of 0, which makes finding the distance between those two lines trivial. The height is simply the difference in their y-coordinate values. So h = 1 - (-4) = 1 + 4 = 5 And the length of the base is the difference between their x-coordinates. (You can use either line for the base). So b = 10 - 4 = 6 So the area is A = bh A = 6 * 5 A = 30