Question 10
In the diagram, a square is split into four smaller regions: $A,B,C$ and $D$. The shaded regions $B$ and $D$ are squares and the difference between their areas is $133\text{ cm}^2$. If the sum of the perimeters of regions $A,B,C$ and $D$ is 152 cm, find the sum (in $\text{cm}^2$) of the areas of the shaded regions $B$ and $D$.
