When real estate in any district is so entered in the list of the town in common with other real estate situated out of such district that there is no distinct and separate value put by the assessors upon the part lying in such district, one or more of the assessors of the town in which such property is situated shall, on application of such district, value the part lying in such district and return a list of the same to the clerk of such district. Notice of such valuation, and of the meeting of the assessors and selectmen mentioned in section 12-200, shall be given by the district committee in the same way as a notice for district meetings.