This is the 16202nd most frequent Russian word.
расположенную
"Located" or "situated."
Here, 'расположенной' is used as a participle modifying 'двери', indicating its placement near the window.
Она подошла к двери, расположенной рядом с окном.
She approached the door located next to the window.
In this sentence, 'расположенную' is an adjective participle describing 'гостиницу', specifying its location within the city center.
Мы посетили гостиницу, расположенную в центре города.
We visited a hotel located in the city center.
'Расположенную' functions as a descriptor for 'картину', elucidating its position on the wall.