A bootstrap calculation for the width of the $\ensuremath{\rho}$ resonance is performed using a simplified version of a Reggeized bootstrap theory proposed recently by the authors. A phenomenological Pomeranchuk input trajectory has been assumed. The $I=2$ channel is eliminated from the appropriate crossing relation and no statements about this channel are necessary. The $2\ensuremath{-}\ensuremath{\pi}$ continuum states are assumed to be dominated by the $\ensuremath{\rho}$ for the $I=1$ and by the ${f}^{0}$ for the $I=0$. The input $\ensuremath{\rho}$ trajectory is parametrized to produce the $\ensuremath{\rho}$ resonance at the observed mass. The $\ensuremath{\rho}$ width is then determined by the maximum satisfaction of the crossing relations. The calculation yields a "best" width of 125 MeV for the $\ensuremath{\rho}$. The problem concerning the simultaneous bootstrap of the $\ensuremath{\rho}$ mass and width is briefly discussed, and a systematic procedure for obtaining the "generalized potential" of the modified Cheng representation is given.