IKMC 2025 - Grades 7-8 - Set 2 - Self-study Question 27

In quadrilateral $ABCD$, points $N$ and $K$ lie on sides $BC$ and $AD$ respectively, with $BN=2NC$ and $AK=KD$. The area of triangle $CKD$ is 2 and that of triangle $ABN$ is 6. What is the area of quadrilateral $ABCD$?