You didn't say what is under the wall to wall carpet. Why would you want a 13x14 rug instead of new wall to wall carpet? Maybe there is more data that you left out.

The floor is a concrete slab and I'm looking for a relatively temporary, relatively low-cost floor covering. I will install wood flooring as soon as possible but can't afford what I want at the moment. The "remnant" is wool sisal, gorgeous & a big bargain.

Maybe you're right that I should have it installed as wall-to-wall. I actually hadn't thought of that but I double checked and there is enough of it to do that. The wall-to-wall that's in there now (installed by former owner) is filthy & in every way disgusting, so I guess I've had a mental block to wall-to-wall in there!

bumping

Could you just paint or stain the concrete slab (just around the edges) and put your remnant down?

I got what you mean about the mental block. But a remnant made into a rug should be not the same size as the whole room. That would be wall to wall and therefore should be installed properly. The installation helps it to wear well. It would look weird to have a room size rug right up to the walls and baseboards.

Wool wears well and repels dirt. It sounds really nice. You can stain your concrete, acid wash it, wax it etc. Then you can use the sisal as an area rug with some floor still showing. Or install the carpet. Probably less expensive.