The backsheet comprises a coextruded multilayer sheet that comprises: i) an inner layer comprising a polyolefin resin; ii) a core layer comprising a polypropylene resin, a blend of a polypropylene resin and a maleic anhydride grafted polypropylene (MAH-g-PP), or a polypropylene resin/MAH-g-PP multilayer structure; iii) an outer layer comprising a maleic anhydride grafted polyvinylidene fluoride (MAH-g-PVDF), a blend of a polyvinylidene fluoride (PVDF) and a MAH-g-PVDF, or a PVDF/MAH-g-PVDF multilayer structure; iv) a first tie layer between the core layer and the outer layer; and v) an optional second tie layer between the core layer and the inner layer.