Let ABCD be a parallelogram of area \(240cm^2\). E is the midpoint of AD and H is the midpoint of AB. G is a point on BC such that \(BG=2GC\) and F is a point on CD such that \(DF=3FC\). K is a point on AC such that the area of triangle EKF is \(33cm^2\). Find the area, in \(cm^2\), of triangle HKG.