Graham design and construction / houzz. a wooden shed in louisville, kentucky, built by graham design and construction sports a lovely green roof planted with sedums, a type of succulent. a rubber roof membrane was installed prior to planting the growing medium and plants. without its protection, the roof would rot.. This shed design, the lean-to, actually has a 'shed roof'. one roof with a single slope. that is a shed roof believe it or not. this style shed is very simple to build, won't take that much time, and is a great little storage building you can use to store garden tools in, pool equipment, or just about anything you want to put in it..