2026 RSS P1 Q22

The coordinates of \(P\) are \((1,2)\) and \(Q\) are \((9,2)\).

A line passes through \(Q\) with gradient \(\dfrac52\).

This line intersects the line \(x=11\) at point \(R\).

1. Find the coordinates of \(R\).[2]
2. \(P\), \(Q\) and \(R\) are three vertices of parallelogram \(PQRS\).
   Find the coordinates of \(S\).[1]
3. Calculate the area of parallelogram \(PQRS\).[1]