Disclosed is a protective cover for an electronic device that is made from an elastomeric material that simultaneously provides cushioning that would otherwise be provided by a softer, thicker material, while utilizing a single, denser material that provides a slim profile and has sufficient density to conform well to the electronic device and prevent the transmission of impacts with hard surfaces directly to the electronic device. Although a denser material is used for the protective cover, recesses are formed in thicker portions at impact points that create compressible ribs. The ribs provide softer, cushioned portions of the cover in the impact areas, which are capable of absorbing the shock and energy of impacts. Other protective covers have a uniform thickness.