 After graduating Alexandra opened his own firm and soon established himself as one of ‘Melbourne's first post-war modernist architects’.Alexandra designed a series of residences and two kindergartens, one in Beaumaris (1956) and one in Burwood (1957), as well as a regional art gallery and library complex in Hamilton, Victoria and the Town Hall in Shepparton, Victoria.During the 1950s Alexandra lectured in design at the University of Melbourne, alongside Raymond Berg, before the two went into practice together in 1962.