The owner or owners in fee of any lands constituting a portion of any irrigation district may file with the board of directors of the district, a petition praying that such lands may be excluded and taken from said district. The petition shall describe the lands which the petitioners desire to have excluded, but the description of such lands need not be more particular than required when lands are entered in the assessment book by the county assessor. Such petition must be acknowledged in the same manner and form as is required in case of a conveyance of land.