An anisotropic wound drape for treating a wound on a patient includes a flexible sheet for placing over a tissue site. The flexible sheet includes a first isotropic zone, and a second isotropic zone. The first isotropic zone and the second isotropic zone are configured to provide the flexible sheet with anisotropic stretching properties. The anisotropic drape may used as part of a reduced-pressure wound treatment system. Other systems and methods are also presented.