For a uniform pressure applied perpendicularly to a flat surface, the total force on the surface is the product of the pressure and the area of the surface. A flat surface is composed of two adjacent square plates. The side length of the larger plate is 2 times the side length of the smaller plate. A uniform pressure of pascals (newtons per square meter) is applied to this surface. If the total force on both plates is newtons, what is the force, in newtons, on the smaller plate?