On a farm there is a barn that is a 40' by 60' rectangle, and a hay storage building that is an L shape with both of the long sides measuring 60' and all of the short sides measuring 30'. The farmer has a 50' rope that he is going to attach to his goat and tie him to one of these buildings for grazing. Where should he tie the goat to the barn for the maximum and minimum grazing areas? Where should he tie the goat to the L shaped building for the maximum and minimum grazing areas?