Mat
A mat is a most likely flat object (normally soft) to wipe your feet/shoes off. It can also mean a few other things like a small piece of cork, card, or fabric placed on a table or other surface to protect it from the heat or moisture of an object placed on it. In a different form called matted it can mean almost completely different things.
Mat Media
Flat mat with a painting of a Paris street
The mats made from Cyperus pangorei (Korai grass in Tamil) are called "Korai paai" in Tamil and can be found widely in the households of Tamil Nadu, usually in the size 6 feet by 3 feet.