Let ABCD be a square with the side of 20 units. Amir divides this square into 400 unit squares. Reza then picks 4 of the vertices of these unit squares. These vertices lie inside the square ABCD and define a rectangle with the sides parallel to the sides of the square ABCD. There are exactly 24 unit squares which have at least one point in common with the sides of this rectangle. Find all possible values for the area of a rectangle with these properties.
HIDE: Note Note: Vid changed to Amir, and Eva change to Reza!