The following Regulations shall govern the granting of variances:
(a) When a subdivider can show that a provision of these Regulations would cause unnecessary hardship if strictly adhered to because of topographical or other conditions peculiar to the site, a variation may be allowed without destroying the intent of such provision. The subdivider shall apply in writing to the Planning Commission stating the reasoning on which the departure is justified and this application shall be processed by the Planning Commission. Any variance authorized by the Zoning Board of Appeals shall be made by formal vote and a copy thereof shall be attached to, and made a part of, the final plat.
(b) Any variance authorized by the Planning Commission shall be made by a formal vote and a copy, thereof, shall be attached to and made a part of the final plat.
(c) In granting variances or modifications, the Planning Commission may require such conditions as will, in its judgement, secure substantially the object of the standards or requirements so varied or modified.