Rimmer was born and raised in Vancouver, Canada. He attended Vancouver Technical School, "which gave an introduction to metal type and presses through the school's large printing trade shop."  After an apprenticeship he began a long period of working with type and design for newspaper publication and printing, all in British Columbia. Rimmer attended evening classes to study graphic design at Vancouver School of Art. "During his freelance years he worked on projects for the major agencies and design studios in Vancouver, for corporations, airlines, mining and forestry companies. A large part of his work entailed letter design and lettering projects."  Along with his long career as a designer, Rimmer taught at several colleges including Capilano College, ECIAD, Langara College, Kwantlen College, Richmond and UCFV, Abbotsford.  For a brief time in the 1970s, Rimmer was type director of the Lanston Monotype Corportion in Vancouver.
In 2007, Rimmer received the honor of becoming a fellow of the Society of Graphic Designers of Canada.