A glass suncatcher is in the shape of an equilateral triangle with sides of length \(144 \text{ mm}\). The triangle is labeled \(ABC\) and divided into \(8\) smaller sections as follows.
Sides \(AB\) and \(BC\) are each divided into \(8\) segments of equal length.
Each point of division on \(AB\) is connected to its corresponding point of division on \(BC\), creating \(7\) line segments.
Each of the \(7\) line segments is parallel to the third side of the triangle, \(AC\).
Two of the sections are coloured blue to form a trapezoid, as shown. Determine the area of this trapezoid.