  We prove that groups in a certain class of metabelian locally compact groups,
have quadratic Dehn function. As an application, we embed the solvable
Baumslag-Solitar groups into finitely presented metabelian groups with
quadratic Dehn function. Also, we prove that Baumslag's finitely presented
metabelian groups, in which the lamplighter groups embed, have quadratic Dehn
function.
