The fastest way to get to the carpet is by removing boxes from the right side of the field. Once that’s done, keep laying the carpet and dropping the donuts down. Match pieces to get power-ups you can use to carpet the neighboring fields. You can use Bombs (in addition to Planes and Rockets) to carpet neighboring fields by exploding them next to field borders.
Remember to remove boxes before dropping donuts down, as removing boxes from under them on narrow fields might be tricky. You have a limited number of moves, so stick to making the best possible matches.