off the top of my head things I have said when looking into roomsSure, but "I check the chest for traps" will lead to different results than "I check the fireplace".
Both are more specific than "I make another perception check" in a room described as having a bed, a closet, a fireplace, and a chest.
"Wait, can I check it for more details"
"Can I make a perception or insight check here?"
"We know the key is here somewhere, can I roll to find it"
"Hu... oh I mean Is this perception or investigate to look?"
"Can someone trained in perception go take a look?"
"What do you want me to do to search for the item?"
splitting out to check individual places like the chest, the fireplace and the bed are pretty rare, and are normally telegraphed by the DM that there need to be multi people checking or a complex/group check involved.
In fact as I prep to DM I have been working on how to telegraph that more and more.