Abstract: Peel-and-stick carpet assemblies capable of being formed and reformed mechanically or by hand without requiring application of heat thereto in a stable three-dimensional contoured shape that does not exhibit any appreciable shrinkage or stretching and will remain substantially unchanged in any of its three dimensions throughout storage prior to application to a substrate to be covered thereby and during normal life of use thereof after such application are formed of a carpet layer, a shape-retention web, a special adhesive layer sandwiched between the carpet layer and the web front surface adhering the web to the carpet layer, a unique pressure-sensitive adhesive layer covering the rear surface of the web, and a release sheet releasably adhered to the pressure-sensitive adhesive layer. In preferred carpet assemblies, the shape-retention web is aluminum metal foil of thickness about 1 to 10 mil.