Community or club swimming pools are permitted in all districts, but shall comply with the following conditions and requirements:
(a) The pool is intended and is to be used solely for the enjoyment of the members and families and guests of members of the association or club under whose ownership or jurisdiction the pool is operated;
(b) The pool and accessory structures thereto, including the areas used by the bathers shall not be closer than twenty-five feet to any property line; and
(c) The swimming pool and all of the area used by the bathers shall be walled or fenced to prevent uncontrolled access by children from the street or adjacent properties. Such fence or wall shall not be less than four feet in height with a gate and lock and maintained in good condition.