由题意得;PQ:AD=BP:AB,PN:BC=AP:AB∴ PQ AD + PN BC = BP AB + AP AB = AP+PB AB = AB AB =1,又∵PN=2PQ,BC=8cm,AD=6cm,∴ PQ 6 + 2PQ 8 =1,∴PQ=2.4则PN=4.8,∴矩形PQMN的周长=14.4cm.