Solutions to this question by accurate drawing will not be accepted.

\(P\) is the point \((8,2)\) and \(Q\) is the point \((11,6)\).

(i) Find the equation of the line \(L\), which passes through \(P\) and is perpendicular to the line \(PQ\).

The point \(R\) lies on \(L\) such that the area of triangle \(PQR\) is \(12.5\) units\(^2\).

(ii) Showing all your working, find the coordinates of each of the two possible positions of point \(R\).