Upon the filing of a petition in the office of the board of any irrigation district, signed by electors who own a majority of the total number of acres [hectares] subject to assessment for construction or other costs and requesting the board adopt rules permitting and providing for any of the following specific orders or changes in the method of operating its canal, pipeline, or other conveyance system, the board immediately shall provide for the adoption and enforcement of the rules:

1. That a measuring device of a type approved by the department of water resources be placed in or near the headgate of any main diverting gate of the main canal, or in any pipeline or other main conveyance system so the district will keep a continuous record    of the amount of water received into the canal or pipeline for the use of the lands in the district.

2. That a measuring device of a type approved by the department of water resources be placed in the headgates or valves of all main laterals and distributing laterals within the district from and by which water is diverted to tracts or units of twenty acres [8.09 hectares] or more for the purpose of determining at all times the amount of water going to or being received upon the tracts of land, and that the district shall keep a separate and correct record of the amount of water delivered through each of the headgates and valves at all times and file the record in the office of the board for public inspection.