Clean the flooring on which you'll be attaching the carpet remnants. Scrub thoroughly to remove any debris. If you're patching a carpet, sand away any old carpet glue and remove the dust.
Cut the carpet remnant down to the proper size for your specific project, using the carpet razor.
Apply a layer of carpet adhesive to the floor with a trowel. Spread the adhesive evenly throughout the section where the remnant will adhere.
Press the carpet remnant into the adhesive and flatten to ensure adhesion. If the remnant is larger than a few feet, roll a carpet roller lengthwise and widthwise over it.
Let the carpet adhesive dry for at least 24 hours before using the carpeted area.