Mine is an "L" shaped living/dining room that flows together. The two rugs do not match, but they don't clash either. It worked out just fine. There is about 6.5' of bare floor between them.

I have 3 rugs in my FR. What I go by is to have a color that is in each rug and keep the rugs close to the same style. One of my rugs is a Safavieh tribal with navy blue center and rusty-red border, the second rug is a karastan type that is mainly rust with 2 tones of blue in the design. The third has beige/brown tones with some rust.

They need not be the same, although they can be. I have two in my L-shaped LR and DR that "go" together. They aren't at all the same, but the colors work well. They were bought years apart. On the other hand, they have some space between them. You will probably need to experiment a lot. I brought home half a dozen rugs to try out for my previous home until I found the right one. And then when I moved here, more try-outs until I found the second one that would go with the first one and in the new home.

In our living room we have red/blue orientals and they coordinate but don't necessarily match. Across the hall in the DR we have one that compliments the others. For me coordinating colors is the key, as I don't like matchy-matchy.