When did the tyrannosaurus rex live?

The Tyrannosaurus rex lived about 66 - 65.5 million years ago in North America. That time was the Maastrichtian stage of the Cretaceous period, the very last part of the Mesozoic Era. T-rex was one of the dinosaurs that died out during the K-T extinction. The Tyrannosaurs where indeed covered in plumage, but most likely its feathers where brown or black.