Problem D

They’re Blue

In rectangle \(ABCD\), the length of side \(AB\) is \(7\) m and the length of side \(BC\) is \(5\) m. Four points, \(W\), \(X\), \(Y\), and \(Z\), lie on diagonal \(BD\), dividing it into five equal segments. Triangles \(AWX\), \(AYZ\), \(CWX\), and \(CYZ\) are then painted blue, as shown.

Determine the area of the painted region.