An asymmetrical optical assembly employs reflecting surfaces and a lens to combine the light from a plurality of LED lamps into an illumination pattern useful in a floodlight or work light. The reflecting surfaces and lens optical element are not symmetrical with respect to a plane bisecting the optical assembly and including the optical axes of the LED light sources. Some light from the LED light sources is redirected from its emitted trajectory into the desired illumination pattern, while a significant portion of the light from the LED light sources is permitted to exit the optical assembly without redirection. Minimizing the number of optical elements employed and the redirection of light enhances the efficiency of the resulting light assembly.