Problem E

Stained Glass

A stained glass window hanging is in the shape of a rectangle with a length of \(8\) cm and a width of \(6\) cm.

Rectangle \(ABCD\) represents the window hanging with \(AB=8\) and \(BC=6\). The points \(E\), \(F\),\(G\), and \(H\) are the midpoints of sides \(AB\), \(BC\), \(CD\), and \(AD\), respectively. The point \(J\) is the midpoint of line segment \(EH\). Triangle \(FGJ\) is coloured blue.

Determine the area of the blue triangle.