Fold a piece of cardboard in half so that the two ends touch. Wrap each of the ends in a piece of aluminum foil.
Strip the ends off four pieces of insulated wire so that the metal is showing.
Use electrician's tape to attach the end of one wire to one of the pieces of aluminum foil and the end of a second wire to the other piece of aluminum foil.
Connect the positive terminal of the battery to the positive terminal of the buzzer using the two remaining pieces of wire.
Connect one of the wires taped to the foil to the negative terminal in the battery and the wire taped to the other piece of foil to the negative end of the buzzer.
Lay the cardboard under a lightweight rug directly in front of the door you wish to protect. Place the battery and buzzer in an unobtrusive location nearby (make sure the wires are long enough). The rug needs to be light enough to keep the ends of the cardboard from touching. When someone steps on the rug, it should complete the circuit and set off the buzzer.