2026 SPS P2 Q3

The quadrilateral ABCD is made up of an acute triangle ABC and an obtuse triangle ADC.

\(AB=11\text{ cm},BC=8\text{ cm},AD=7\text{ cm},\angle ABC=58^\circ\) and \(\angle ACD=42^\circ\).

Find

1. the length of AC,[3]
2. angle CAD,[3]
3. the length of CD,[2]
4. the area of quadrilateral ABCD.[2]