Charlene wants to center a rectangular pool in her backyard so that the edges of the pool are an equal distance from the edges of the yard on all sides. The yard currently measures 60 m by 50 m. She wants to use ½ of the area of the yard for the pool. Create an equation for the pool's dimensions and solve for the distance the pool is from the edge of the yard. Round your final answer to the nearest tenth of a meter.