These are similar to other rubber mats, so if a person is sensitive to smells then rubber mats are not recommended. We can not say this mat is low odor.

The installation instruction state this about use under ceramic tile. Use an overlayment above RB Silent Tread made of gypsum board, gypsum concrete or two layers of 3/8 inch exterior grade plywood (staggered and glued and screwed together for stability). The electric heat is fine and should be between the gypsum board and ceramic tiles.

Yes, however we find that its not necessary, just tape around the perimeter with single sided vinyl tape, however you can use our double sided tape for under the marley if you like.

Yes this dance subfloor option can be installed over very flat carpet.

Adagio marley is good for all dance shoe types. Please contact one of our dance floor reps for recommendations. Consider the this Marley option for all dance types you mentioned: https://www.greatmats.com/dance-flooring/rosco-adagio-cut-perlf.php

Greatmats does not cut the material to fit exact measurements. The customer may be required to cut some material to fit their area.

Yes. The rubber is included. We do recommend you use an underlayment for Marley over hard tile floors.