  The formula for the area eigenvalues that was obtained by many authors within
the approach known as loop quantum gravity states that each edge of a spin
network contributes an area proportional to sqrt{j(j+1)} times Planck length
squared to any surface it transversely intersects. However, some confusion
exists in the literature as to a value of the proportionality coefficient. The
purpose of this rather technical note is to fix this coefficient. We present a
calculation which shows that in a sector of quantum theory based on the
connection A=Gamma-gamma*K, where Gamma is the spin connection compatible with
the triad field, K is the extrinsic curvature and gamma is Immirzi parameter,
the value of the multiplicative factor is 8*pi*gamma. In other words, each edge
of a spin network contributes an area 8*pi*gamma*l_p^2*sqrt{j(j+1)} to any
surface it transversely intersects.
