Well, OP specifically asked about the rug, so. Also, it’s lower frequencies that have longer wavelengths, thus being more affected by floor bounce.
See the data here: https://www.prosoundweb.com/images/uploads/TTPSWWavelengthTable.jpg
See the data here: https://www.prosoundweb.com/images/uploads/TTPSWWavelengthTable.jpg