AMO 2027 Grades 8-9 SET 13 - Self-study Question 1

Exercise 13. In the quadrilateral $AECF$ below, $AB=3\text{ cm}$, $CE=4\text{ cm}$ and $CD=AF=2\text{ cm}$. Find the area (in $\text{cm}^2$) of the quadrilateral $ABCD$.