Walkthrough - Arkham Island #5 BAA Guide
Last update: 11 May 2016
You must now travel to Arkham East and to do so I would recommend choosing the southern road, marked as the Abandoned Tunnel. Before you'll reach your destination you'll have to eliminate a couple of mental patients along the way. The first one will be waiting for you near the Penitentiary building and his colleagues are scattered throughout this entire area.
Once you've found your way to the Abandoned Tunnel watch out for a new inmate stationed to your left. Once he's gone start using your hook to get past closed gates. A second insane person is standing not far from here, however you will be allowed to use the Glide Kick to knock your target out. Eventually you should be able to arrive safely in Arkham East.
It's now up to you whether you want to eliminate seven other mental patients running around asylum grounds or focus solely on completing your mission. Either way you must be heading towards the Botanical Gardens building. Choose the main door and you'll end up standing in the Glasshouse Entrance.