∵四边形ABCD是平行四边形, ∴AB=DC,AD=BC, ∵四边形ABCD的周长是36cm, ∴2AB+2BC=36cm, ∴AB+BC=18cm, ∵BC-AB=4cm, ∴AB=7cm,BC=11cm. 故各边长分别为7cm,11cm,7cm,11cm.