Multiple components of a floor mat system may each be formed of a resilient material such as foamed polyurethane. First and second channels are formed in the respective lower surfaces of first and second mat components, so as to inwardly extend from lateral boundaries thereof. The roofs of the channels are spaced above the general lower surfaces of the mat components. A first socket is formed to upwardly extend from the roof of the first channel, and a second socket is formed to upwardly extend from the roof of a second channel. A connector is used to join the mat components. Posts of the connector are received in the sockets, while a strap joining the posts is received within the first and second channels.