We are building a brooder into the wall of our coop. It's going to have a mesh floor so the litter can fall in with the bedding, and lesson clean up. It's going to be 4 feet wide and 30 inches deep. The top is going to be sloped so the chickens can't roost on it. So here's my question: If we have the roof 18 inches in the back and slope to 14 inches in the front, will this be tall enough for the chicks until 8 weeks old?