When a petition subscribed by the owners of sixty per cent of the front footage of property abutting upon a street, alley, public road, place, boulevard, parkway, park entrance, easement, or other public improvement in a municipal corporation, or the owners of seventy-five per cent of the area to be assessed for such improvement, requesting such improvement, is regularly presented to the legislative authority of the municipal corporation, the total cost of such improvement, including the cost of intersections, regardless of the limitations of sections 727.03 and 727.04 of the Revised Code, and without reference to the value of the lands of those who subscribe to such petition, may be assessed and collected in equal annual installments, proportioned to the whole assessment, in a manner which may be fixed by the legislative authority. When the lot or land of one who did not subscribe to the petition is assessed, such assessment shall not exceed the thirty-three and one-third per cent limitation prescribed by section 727.03 of the Revised Code.