I don't have any kids, but I was a pre-teen not too long ago

(ack - ok 10 years ago haha) Some of the kids menu items, probably would not fill up a 10-11 year old. Here are some ideas
DLR:
* Bengal BBQ - all the skewers are awesome, depends what kind of meat you like
* Golden Horseshoe - chicken nuggets, what kid doesn't love chicken nuggets? (on the regular, adult menu)
* Hungry Bear - burgers and sandwiches
* Plaza Inn - pasta and fried chicken
* Rancho del Zocalo - Mexican food
* Redd Rocket's - pizza, pasta, and salad
DCA:
* Boardwalk Pizza & Pasta - you guessed it! pizza and pasta
* Flo's V8 Cafe - ribs, chicken, beef, perfect for a big dinner!
* Taste Pilot's Grill - burgers and salads
Hope this helps! Have an amazing trip!!