Question 72
Let $ABCD$ be a square with the side of $20$ units. $Vid$ divides this square into $400$ unit squares. Eva 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.