(1) The governing body of a city may include property located outside the city as part of the property to be improved or to be assessed for a street improvement, subject to the following conditions:
(a) The type of street improvement is one which the city has authority to finance by assessments against property within the city.
(b) The governing body of the county, by resolution, approves the improvement if any portion of it is outside the city.
(c) The governing body of the county, by resolution, approves the assessment of the property outside the city.
(d) The assessment authority, including authority to enforce collection of assessments, is exercised for property outside the city in the same manner as for property within the city.
(2) The owners of property outside the city subject to assessment under this section shall have the same rights, including remedies, which the owners of property within the city may have.