SEAMO 2027 - Paper C - SET 01 - Self-study Question 25

ABCD is a trapezium with $AD\parallel BC$. The areas of triangles ADE, ABF and BCF are $12\text{ cm}^2$, $90\text{ cm}^2$ and $270\text{ cm}^2$, respectively. Find the area of shaded triangle ACE, in $\text{cm}^2$.