(1) Whenever any person interested in any real property in an incorporated city in this state desires to vacate all or part of any street, avenue, boulevard, alley, plat, public square or other public place, such person may file a petition therefor setting forth a description of the ground proposed to be vacated, the purpose for which the ground is proposed to be used and the reason for such vacation.
(2) There shall be appended to such petition, as a part thereof and as a basis for granting the same, the consent of the owners of all abutting property and of not less than two-thirds in area of the real property affected thereby. The real property affected thereby shall be deemed to be the land lying on either side of the street or portion thereof proposed to be vacated and extending laterally to the next street that serves as a parallel street, but in any case not to exceed 200 feet, and the land for a like lateral distance on either side of the street for 400 feet along its course beyond each terminus of the part proposed to be vacated. Where a street is proposed to be vacated to its termini, the land embraced in an extension of the street for a distance of 400 feet beyond each terminus shall also be counted. In the vacation of any plat or part thereof the consent of the owner or owners of two-thirds in area of the property embraced within such plat or part thereof proposed to be vacated shall be sufficient, except where such vacation embraces street area, when, as to such street area the above requirements shall also apply. The consent of the owners of the required amount of property shall be in writing.