2026 CCHY P1 Q9

The diagram shows a quadrilateral \(ABCD\) in which \(AD=DC\). Point \(A\) is \((0,k)\), point \(C\) is \((1,-2)\) and point \(D\) is \((p,0)\), where \(k\) and \(p\) are constants. \(AB\) is parallel to the \(x\)-axis and \(AC\) is perpendicular to the line \(6y-x=7\).

1. Find the value of \(k\) and of \(p\).[4]
2. Given that the area of \(ABCD\) is \(33.5\) units\(^2\), find the coordinates of \(B\).[2]