  The decay widths of the $\ds\to d \pi^0\pi^0$ and $\ds\to d \pi^+\pi^-$
processes are explicitly calculated in terms of our chiral quark model. By
using the experimental ratios of cross sections between various decay channels,
the partial widths of the $\ds\to pn \pi^0\pi^0$, $\ds\to pn \pi^+\pi^-$,
$\ds\to pp \pi^0\pi^-$, and $\ds\to nn \pi^+\pi^0$ channels are also extracted.
Further including the estimated partial width for the $\ds\to pn $ process, the
total width of the $\ds$ resonance is obtained. In the first step of the
practical calculation, the effect of the dynamical structure on the width of
$\ds$ is studied in the single $\Delta\Delta$ channel approximation. It is
found that the width is reduced by few tens of MeV, in comparison with the one
obtained by considering the effect of the kinematics only. This presents the
importance of such effect from the dynamical structure. However, the obtained
width with the single $\Delta\Delta$ channel wave function is still too large
to explain the data. It implies that the $\ds$ resonance will not consist of
the $\Delta\Delta$ structure only, and instead there should be enough room for
other structure such as the hidden-color (CC) component. Thus, in the second
step, the width of $\ds$ is further evaluated by using a wave function obtained
in the coupled $\Delta\Delta$ and CC channel calculation in the framework of
the Resonating Group Method (RGM). It is shown that the resultant total width
for $\ds$ is about 69 MeV, which is compatible with the experimental
observation of about 75 MeV and justifies our assertion that the $\ds$
resonance is a hexaquark-dominated exotic state.
