That rug is machine washable. I'll never have another type of rug in a common area while I have dogs and kids. This brand.
On a related note, I've found the best plush dog toy for heavy chewers - I know some of y'all also have dogs who destroy any toy within a few minutes.The brand is Fluff & Tuff. They had a booth at the AHS Puppy Bowl in February and we got a stuffed hippo, fully expecting it to get shredded quickly. That thing lasted for months. Subsequent toys haven't lasted that long now that Rocket is huge, but any toy that can make it more than a couple of days is a winner. I tried every "tough" brand I could find and nothing has worked as well as Fluff & Tuff. Everything at Petsmart had the stuffing pulled out within half an hour.
In Austin, I buy Fluff & Tuff at Kriser's on Great Hills, but they're also on Amazon.
Of these, the best one is the beach ball because it doesn't have any head, tail, or limbs for them to chew off.
Second best is the caterpillar.