2. Exemplar - Find the required length

\(ABCD\) is a trapezium in which \(AB||DC\) and \(P\) and \(Q\) are points on \(AD\) and \(BC\), respectively such that \(PQ||DC\). If \(PD = ​12​ \ cm\), \(BQ = ​20​ \ cm\) and \(QC = ​24​ \ cm\), find \(AD\).

 

\(AD = \) ​​ \(cm\)