The chief engineer and the other engineers shall make all necessary surveys of the land within the boundary lines of the district as described in the petition and of all lands adjacent thereto that will be improved or reclaimed in part or in whole by any system of drainage that may be outlined and adopted. And the engineers shall make a report in writing to the board of supervisors, with maps and profiles of the surveys, which shall contain a full and complete plan for draining and reclaiming the lands described in the petition or adjacent thereto from overflow or damage by water, with the length, width and depth of such canals, ditches, dykes or levees or other works that may be necessary in conjunction with any canals, drains, ditches, dykes, levees or other works theretofore constructed or built by any other person or that may be in process of construction that may be necessary or which can be advantageously used in such plan for reclamation and also an estimate of the costs of carrying out and completing the plan of reclamation, including the cost of superintending the same and all incidental expenses in connection therewith. Such maps and profiles shall also indicate so far as necessary the physical characteristics of the lands and the location of any public roads, railroads and other rights of way, roadways and other property or improvements located on such lands.