7. PYQ - Find the length IV

\(ABCD\) is a trapezium in which \(AB || DC\) and \(P\), \(Q\) are points on \(AD\) and \(BC\) respectively, such that \(PQ || DC\) if \(PD =  12\ cm\), \(BQ =18  \ cm\) and \(QC = 12 \ cm\),find the value of \(AD\). 

Answer:

 

The length of \(AD\) \(=\)  \(cm\)