Absolutely you can wash your rugs! Just never (EVER!) throw them in your washing machine! Too hard on the rug; too hard on your washing machine! Instead, take advantage of your bathtub and let your rug soak in some warm water & mild detergent. Work the water through your rug - roll up your pant legs and walk on your rug while it's soaking!
Rinse well, roll in a towel and dry on your deck shaping just a bit. Dry completely this way both sides and then spray both sides with Scotchguard to protect the rug from spills and condition the fabric! It's a miracle product!!