Cut out the damaged strip of carpet and padding, using the box cutter. Remove the carpet and padding from the floor.
Measure out a new piece of carpet and padding that fits exactly into the hole. Cut out carpet and padding strips.
Apply epoxy to the floor with the trowel and spread it evenly across the floor. Lay the padding over the epoxy and press it down. Allow the epoxy to dry completely, usually four to six hours.
Apply epoxy to the surface of the padding, using the trowel to spread an even layer over the padding. Carefully lay the carpet on top of it, pressing down gently. Allow it to dry completely before walking on it.