Shed not included for rent?

[Nathan Rude]

I just purchased my first single family rental and a nice large (12x16 ft) wooden shed was included in the backyard. The yard is pretty small, so the shed takes up a good chunk of the yard.

Currently I'm renting as well and have very limited storage space. I'd like to potentially use the shed for my personal storage for equipment and supplies. The downside is this rental has no garage or additional storage that a tenant could use.

Has anybody had experience with shared space like this? Good idea or bad? Thanks!