Protective coverings are disclosed that have a scrim made up of warp and weft members that define a plurality of interstices coated on only a first major surface thereof by a multi-layer coating with a first layer of the multi-layer coating juxtaposed to the first major surface, and penetrating into the interstices of the scrim to co-define, with the warp and weft members, an opposing second major surface of the scrim. The first layer of the multi-layer coating has a melting point below 100° C. and comprises a copolymer of ethylene, and provides the co-defined opposing second major surface of the scrim with a coefficient of friction of at least 0.5 when tested with dry leather and at least 0.7 when tested with dry rubber.