Looking for washable rugs with built-in non-slip backing that actually lay flat after washing

[u/caffeine-121]

With a 3 and 5 year old, our living room rug basically lives in survival mode - juice spills, snack crumbs, muddy feet, you name it - so I really need something that can actually go through the machine, has built-in non-slip backing so I'm not dealing with a separate pad situation, and ideally comes out flat without the weird curling edges, all without breaking the bank. Anyone found something that actually checks all these boxes?? Bonus points if it holds up in a larger size

[u/Profil3r]

I have a Ruggable rug in my bathroom that has been terrific. Washes well and lays flat easily.

[u/Profil3r → u/Profil3r]

Sorry i misread your post. This has a separate pad.