Question 3
Label the vertices of a square $A,B,C,D$ anticlockwise. A line $\ell$ passes through $B$ and intersects the side $AD$. If $A$ is $5$ cm from $\ell$ and $C$ is $7$ cm from $\ell$, find the area of $ABCD$ in square centimetres.
AIMO AUSTRALIA · Australian Intermediate Mathematics Olympiad 2021