Question 8
A rectangular sheet of paper is cut into two pieces as shown in the diagram below, where one region is shaded. The eight sides of the shaded region have lengths of $1$ cm, $2$ cm, $3$ cm, $4$ cm, $5$ cm, $6$ cm, $7$ cm and $8$ cm, in some order. What are the maximum and the minimum possible areas, in cm$^2$, of the unshaded region?
The maximum possible area of the unshaded region is ______ cm$^2$.
The minimum possible area of the unshaded region is ______ cm$^2$.
The maximum possible area of the unshaded region is ______ cm$^2$.
The minimum possible area of the unshaded region is ______ cm$^2$.