Area offering cold bath with undies off? (6,5)

'area' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.

'cold bath with undies off?' is the wordplay.
'cold' becomes 'c' (eg on taps).
'with' says to put letters next to each other.
'off?' is an anagram indicator (I've seen 'off' mean this).
'c'+'bath'+'undies'='cbathundies'
'cbathundies' is an anagram of 'NUDIST BEACH'.

'offering' is the link.