Dimetria \d(i)-met-ria, dim(e)-tria\ as a girl's name is a variant of Demetria (Greek). See for meaning of Dimetria.
The baby name Dimetria sounds like Dimitria, Dimitra, Demetris and Demetra. Other similar baby names are Detria, Diedra, Deetra, Demitra and Dimitie.