Baumslag's group is a finitely presented metabelian group with a Z-wreath-Z subgroup. There is an analogue with an additional torsion relation in which this subgroup becomes (finite cyclic)-wreath-Z. We will explore these groups and prove that Baumslag's group has an exponential Dehn function. This contrasts with the torsion analogues which have quadratic Dehn functions. This is work with Martin Kassabov.