The relationship between flow area, flow rate, and velocity is expressed as area = flow/velocity. The units for these measurements are typically square meters (m^2) for area, liters per second (L/s) for flow rate, and meters per second (m/s) for velocity. The discussion highlights that flow can be synonymous with flux, particularly in the context of water flow. It is clarified that velocity has units of length per time, area has units of length squared, and flow must therefore have units of length cubed per time. Overall, the correct formula and units are essential for accurate calculations in fluid dynamics.