Tavon wants to design a fountain for his backyard. He wants the height of the fountain's water stream to be at least 2 m. The height of a fountain's water stream can be modeled by a quadratic function h(x) = -8(x -0.5)^2+2. In the equation, h is the height of the jet of water and x is the horizontal distance from the jet of water to

the nozzle, measured in meters. Tavon has already calculated that the water will land 1 m from the nozzle. Tavon wants the fountain's water to stream in four

directions. He puts four nozzles in the center of the pool so there will be four streams originating from the fountain. How big does the pool have to be if it is a square

shape?