2026 GESS P1 Q8

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

The diagram shows a triangle \(ABC\) in which the point \(C\) is \((5,22)\), the point \(A\) lies on the \(x\)-axis and angle \(ABC\) is \(90^\circ\). The equation of \(AB\) is \(3y+4x=36\).

1. Find the coordinates of \(B\).[5]
2. Given that \(ABCD\) is a rectangle, find the coordinates of \(D\) and the area of the rectangle.[4]