A community centre has a square floor with diagonal \(20 m\). The designer wants to create two special square regions:
- Region A: The designer uses the diagonal of the original square to construct a square with double the area.
- Region B: The designer joins the midpoints of the four sides of the original square to construct a square with half the area.
1. Area of the original square \(=\)
2. Side length of region \(A\) is
3. Area of region \(B =\)
4. Compare side lengths of region \(A\) and \(B\).