Provided herein is a biodegradable elastomeric patch that can be implanted on a heart or other portions of the cardiovascular system to repair tissue deficiencies or tissue damage. The biodegradable elastomeric patch may be engineered to have mechanical properties similar to that of soft tissue and to provide mechanical support to the damaged tissue. The biodegradable elastomeric patch also may comprise therapeutic agents to aid in the healing process. Methods also are provided for using a biodegradable elastomeric patch for treating patients suffering from tissue damage or tissue deficiencies in the cardiac or cardiovascular system.