When lands owned in different descriptions by the same person, copartnership or corporation, and are contiguous at the corners or as more fully described at the points of intersection of description lines projected, a private road may be secured across the adjacent lands, not to exceed 12 feet on each side of the point of intersection, or a passage way of 24 feet permitting ingress and egress. Application for such easement shall be made by the owner of such land contiguous at the corners, in writing to the highway commissioner of the township who shall act on such application in the manner prescribed in chapter 9 of Act No. 283 of the Public Acts of 1909, entitled “An act to revise, consolidate and add to the laws relating to the establishment, opening, improvement, maintenance and use of the public highways and private roads, the condemnation of property and gravel therefor; the building, repairing and preservation of bridges; setting and protecting shade trees, drainage, cutting weeds and brush within this state, and providing for the election and defining the powers, duties and compensation of state, county, township and district highway officials.”