The board may not finance improvement projects or services under this chapter unless a written petition has been filed with the board requesting those improvements or services signed by:
(1) the owners of a majority of the assessed value of the property in the district subject to assessment, according to the most recent certified county property tax rolls; or
(2) for a proposed assessment to be apportioned under Section 375.119(1), the owners of a majority of the surface area of the real property subject to assessment by the district, according to the most recent certified county property tax rolls.