In the previous paper, the multi-valued nature of steady state solutions of two-dimensional Bénard convection of a fluid with temperature-dependent viscosity was revealed by numerical computation. In this paper the cases with variable horizontal periodic length are treated numerically for Rayleigh number 3000 and Prandtl number 1000. The effect of temperature-dependence of viscosity to the multi-valued nature is shown to be understood in terms of an effective wave number and an effective Rayleigh number, which are estimated from obtained solutions.