Whenever the City of Washington shall have given notice, in the manner prescribed by § 38002 of the Third Class City Code, to any property owner to construct, pave, curb, repave, recurb or maintain any sidewalk abutting such property, such property owner shall have 20 days in which to comply with such notice, and if any property owner shall not have complied with such notice before the end of such period of 20 days, such property owner shall be deemed to have failed to comply with such notice, and the City may proceed as authorized by § 38002 of the Third Class City Code to cause the required work to be done, and may collect the cost of thereof, with the penalty allowed by law, from the owner of such property, as authorized by law.