Final answer:
The different rates of heat transfer between tile and carpet cause the tile floor to feel colder. This is due to the tile material conducting heat away from your skin faster than the carpet material.
Step-by-step explanation:
When you walk barefoot across the living room carpet and step onto the kitchen tile floor, the tile feels colder than the carpet even though they are both at the same temperature. This is because of the different rates of heat transfer. The tile material conducts heat away from your skin faster than the carpet material, resulting in a greater sensation of coldness on the tiles.