Given points: \( P(0, 1) \), \( Q(0, -3) \), \( R(-2, -1) \), and \( S(2, -1) \).
The height (\( h \)) is the absolute difference in the y-coordinates of \( P \) and \( Q \):
\[ h = |1 - (-3)| = 4 \]
The base (\( b \)) is the absolute difference in the x-coordinates of \( R \) and \( S \):
\[ b = |-2 - 2| = 4 \]
The area (\( A \)) of the quadrilateral is given by:
\[ A = \frac{1}{2} \times b \times h \]
Substituting the values:
\[ A = \frac{1}{2} \times 4 \times 4 = 8 \]
Therefore, the area of the quadrilateral is \( 8 \).