Its c.
To find the area of the parallelogram formed by the points (-5, 2), (2, 0), and (4, -4), we need to first find the fourth vertex of the parallelogram. Since opposite sides of a parallelogram are parallel and have equal length, the fourth vertex can be obtained by adding the vector formed by the points (-5, 2) and (2, 0) to the point (4, -4). This gives us the fourth vertex as (11, -6).
Next, we can use the distance formula to find the lengths of the two sides of the parallelogram. The length of the side connecting (-5, 2) and (2, 0) is sqrt(45), and the length of the side connecting (2, 0) and (4, -4) is 2sqrt(5).
Finally, we can use the formula for the area of a parallelogram, which is base times height, to find the area of the parallelogram. The base of the parallelogram is the distance of sqrt(45) between (-5, 2) and (2, 0), and the height is the distance of 2sqrt(5) between (2, 0) and (4, -4). Multiplying these values together gives us an area of 42 square units, which is option C.