Here's how to inlay sheet vinyl flooring for a designer look. Measure your design on the floor with chalk lines. Secure your inlay sheet on top of the base sheet with masking tape. Carefully cut through both layers, using a very sharp utility knife. Remove your base layer, trim the edges, and lay floor adhesive. Set your inlay in place and roll the floor to evenly spread the adhesive. Finish the edges with seam sealer and you'll have a perfect fit.
For more on flooring, consider:
How To: Clean a Vinyl Floor
Quick and Easy Vinyl Flooring
Vinyl Flooring Installation (VIDEO)