When there is no fence between property used for agricultural purposes adjoining a state highway and the highway property sufficient for the purposes of section 47-43, or when any fence so located is in need of replacement, the adjoining proprietor may, with the written agreement of the Commissioner of Transportation, executed within sixty days of a written request by such proprietor, cause such a fence to be constructed or replaced within two years from the date of the agreement; and the Commissioner of Transportation shall, within sixty days after the construction or replacement is completed, reimburse the proprietor for one-half the cost thereof, subject to limitations of costs per linear foot and in accordance with standards to be established by said commissioner.