Question 12
As shown in the diagram on the left below, a $4\times4$ grid is created on a wall by using sixteen nails, with the distance between any two adjacent nails, whether horizontally or vertically, equal to 10 cm. A rubber band is then used to connect three non-collinear points on the grid to form a triangle. The diagram on the right below shows one example of a triangle formed in this manner.
How many different possible values can the area of the resulting triangle formed in this manner take?
How many different possible values can the area of the resulting triangle formed in this manner take?