Such districts may acquire such rights of way through existing drainage districts, after obtaining consent of an existing district and upon such terms as the existing district may impose, but when the works or improvements of an existing district are so acquired, the district acquiring shall furnish and provide equivalent relief or protection to that destroyed or impaired by such taking. If not determined by mutual agreement by the commissioners of the districts or landowners, either district may petition the board of supervisors, chancellor, or chancery court having jurisdiction to investigate, determine, and adjudicate what damages shall be paid, or what work or relief shall be done or provided by the new district. Such judgment may be enforced by mandamus, as now provided by law, and all existing rights of landowners in an existing district shall be protected and cared for by such new district. An appeal shall lie from such order as provided by this chapter. Such district may use any ditch, levee, or other improvements of an existing drainage district with the consent of the commissioners thereof, and upon such terms, conditions, stipulations, and price as may be made by such existing drainage district.