For heat passing through a flat surface perpendicular to it, the heat flux through the surface is the product of the heat transfer rate and the area of the surface. A certain flat surface consists of two adjacent square panels, where the side length, in meters, of the larger panel is 3 times the side length, in meters, of the smaller panel. Heat with a transfer rate of 50 watts per square meter passes uniformly through this surface, which is perpendicular to the heat. If the total heat flux through this surface is 2,000 watts, what is the area, in square meters, of the smaller panel?