A.
No new street less than 50 feet wide shall be laid out and accepted by the Council as a public street unless the same shall have been actually dedicated and constructed and used for public travel prior to February 2, 1959.
B.
No street dedicated or constructed prior to February 2, 1959, shall be accepted nor any street previously accepted be extended in length which is of a width less than 50 feet, unless the owners of the property adjoining and abutting such street shall deed to the City sufficient land to lay out a street of minimum width, excepting as hereinafter provided.