SEAMO 2027 - Paper C - SET 05 - Self-study Question 15

In the diagram, $ABCD$ is a square and $BP=10\text{ cm}$. Triangles $APB$ and $BPC$ have areas $60\text{ cm}^2$ and $30\text{ cm}^2$, respectively. Find the area of square $ABCD$, in $\text{cm}^2$.