  $\kappa$ Andromedae, an early type star that hosts a directly imaged low mass
companion, is expected to be oblate due to its rapid rotational velocity
($v\sin i$ = $\sim$162 $\mathrm{km~s^{-1}}$). We observed the star with the
CHARA Array's optical beam combiner, PAVO, measuring its size at multiple
orientations and determining its oblateness. The interferometric measurements,
combined with photometry and this $v\sin i$ value are used to constrain an
oblate star model that yields the fundamental properties of the star and finds
a rotation speed that is $\sim$85\% of the critical rate and a low inclination
of $\sim$30$^\circ$. Three modeled properties (the average radius, bolometric
luminosity, and equatorial velocity) are compared to MESA evolution models to
determine an age and mass for the star. In doing so, we determine an age for
the system of 47$^{+27}_{-40}$ Myr. Based on this age and previous measurements
of the companion's temperature, the BHAC15 evolution models imply a mass for
the companion of 22$^{+8}_{-9}$ M$_\mathrm{J}$.
