Removing Dog Urine Stains on Hardwood Floor?

My 14 year old Schnoodle who has always been well trained to use the bathroom outside started peeing and pooping on a small rug (27 x 45) in our living room. There are also stains on the hardwood floor. I tried removing the smell from the rug, but he keeps going back to it. I'm thinking of throwing the rug out, but the floor doesn't look good with the stains on it and I can't get the stains out. Please help and give me your ideas. Thanks.