There are two areas in the game that are referred to as the “Ruins”. The first is the area that Tidus arrives at when he is first abducted by Sin (this area) and the second are the Zanarkand Ruins. The Ruins are located just outside of Baaj Temple although you can’t reach this area until later. You also can’t return to this Ruins area after you have passed through.
The Ruins are the second area of the game that you visit during a regular playthrough of the story. Check out the full walkthrough for more information:
There is a side quest in this area but it is technically located in an area that you can’t reach from the Ruins. Still, you can use the following link to find out more information: