| On a sunny summer day, solar energy is absorbed by the roof, heating the roof sheathing and causing the underside of the sheathing and the roof framing to radiate heat downward toward the attic floor. When a radiant barrier is placed on the attic floor, much of the heat radiated from the hot roof is reflected back toward the roof. This makes the top surface of the insulation cooler than it would have been without a radiant barrier and thus reduces the amount of heat that moves through the insulation into the rooms below the ceiling. excerpt from Radiant Barrier Attic Fact Sheet.
Sounds like you could purchase the amount of Barrier to cover your Ceiling Joist and wrap your second floor walls and install it yourself. That is if the bonus room has no roof cuts nailed to the walls. Installation is a matter of placing a blanket over a bed for the joists. Keep in mind this is just one method of placing the barrier |