Official information relating to the movie allows to know a few details on the Republic. It was formerly an European colony, and recently became independent (at the time of the events in Cars 2). However, it is unknown from the world, and is desperate to put their name on the map. But they have high hopes that the participation of their young racer Rip Clutchgoneski to the World Grand Prix will give to the Republic some attention.
The location of New Rearendia in the world is unknown.
The flag of New Rearendia is red, orange and green. It is divided by an orange cross in four parts, with opposite sections of the same color, red or green. In the upper left section is an orange symbol shaped as a gear. The flag can be seen during the RSN coverage of the World Grand Prix.
However, there is an inconsistency on the disposition of the red and green colors. All flags and insignia scattered in the film have the upper left square green (with the other squares colored accordingly), while Rip Clutchgoneski's WGP insignia painted on him is arranged with the upper left square red.
The Republic of New Rearendia is never spoken of directly in Cars 2. Although Rip Clutchgoneski appears throughout the movie, it is never said explicitly in the film that he is from New Rearendia. Still, his paint job and his pit's design are colored after his country's flag.