KanjiJLPT N2
Tuft

tassel, tuft, fringe, bunch, lock (hair), segment (orange), house, room

Mnemonic

You open a door and find an ancient compass nailed to the back of it. Dangling from the compass needle are dozens of silk tassels — each a lush tuft of colorful thread. Every time the compass spins, the tufts fan out like a blossoming cluster, swaying hypnotically.
Additional thoughts
Picture the door swinging open to reveal the compass mounted inside, with tufts hanging from it like a chandelier of tassels. Door + Compass = dangling cluster = Tuft.
Quick recall
A compass behind a door spins, its needle draped with dangling tufts of silk.

Details

The keyword for 房 is tuft. This kanji refers to a cluster or bunch of things hanging together, such as a tuft of hair, a tassel, or a cluster of grapes or flowers. It can also mean a chamber or room, as in a small enclosed space. The sense of something gathered and dangling in a bunch is central to its meaning.
On'yomi
ぼう
Kun'yomi
ふさ