12. Five mark exercise problem II

\(ABCD\) is a trapezium in which \(AB || DC\) and \(P\), \(Q\) are points on \(AD\) and \(BC\) respectively, such that \(PQ || DC\) if \(PD = 18 \ cm\), \(BQ = 35 \ cm\) and \(QC = 15 \ cm\), find \(AD\).

 

Answer:

 

The length of \(AD\) \(=\)  \(cm\)