A multilayered polymer composite film includes a water-soluble polymer matrix and a plurality of fibers embedded within the water soluble polymer matrix. The fibers include a water insoluble polymer material and at least one of a non-polymeric hydrophobic therapeutic agent or a non-polymeric hydrophobic cosmetic agent incorporated in the water insoluble polymer material. The fibers have a rectangular cross-section, and extend the entire length of the multilayered polymer composite film.