When ninety per cent of the cattle owners of a county, township, municipality or other designated area have filed petitions and agreements with the department for the tuberculin testing of their cattle under the area or any other plan of testing approved by the department, the department, through its authorized veterinarians, may enter the premises of the remaining ten per cent and officially tuberculin test and retest all cattle at such times as they may deem advisable and order the quarantine and slaughter of all reactors found, without the consent of the owner, and compensation or indemnity for such reactors if eligible to appraisement may be paid as provided for when a petition and agreement signed by the owner has been filed with the department.