My camera isn't working but I will describe the ones I am giving this year. First, they aren't quilted but I spent a lot of effort in picking just the correct fabric for the front and back to go with the dishes of the person I am giving them to. They are reversible, mine are a little smaller than the size you want, with a layer of flannel between the front and back fabric. The edges are finished with a rolled edge and there is a matching napkin. I am also doing some holiday placemats that are cream on the front with a large embroidered design at each end. The back fabric is a holiday red print and the rolled edge is in red. There will be two sets of napkins with these, one of red linen and one of cream. Since I didn't quilt the placemats I used spray adhesive to adher the three layers of fabric so there is no shifting. The embroidered ones have stablizing in them also. I think they look very dressy and elegant and chic.
However you make your placemats I would advise you to give napkins with them because it is so hard to find the exact right napkin to go with a placemat. Colors are hard to match, etc.