SEAMO 2027 - Paper C - SET 10 - Self-study Question 3

Triangle $ABC$ has $AC=11$ cm and $BC=16$ cm. Point $D$ lies on $AC$ with $AD:DC=6:5$, and $E$ is the midpoint of $BC$. Given that triangle $BDE$ has area $10\text{ cm}^2$, find the area of triangle $ABD$, in $\text{cm}^2$.