Making a hardwood platform for a rolling chair at a desk

Q: I want to make a mat for a rolling chair at a desk. I thought about using 3/4 inch MDF and gluing wood flooring on it. The room has shag carpet and I can not remove the carpet.

What do you think?

A: Why not just buy a plastic sheet?

If you wanted to make a hardwood platform, I would suggest plywood as the base rather than MDF. You can buy plywood either rough or smooth on one or both sides. Then you could not only glue it, but also use some small nails also to give it better hold.