Just like in Part 1, \(ABCD\) is a square with a side length of 18, and we divide each side into three equal parts and mark the points \(E,F,G,H,I,J,K,L\) in a clockwise manner starting from the vertex \(D\). This time, we connect each of those points to the **nearest** vertex that is opposite to them to form a not-necessarily-regular octagon as shown in the figure above, for example, points \(A\) and \(E\) will be connected in this case. What is the area of this octagon?

###### You may wish to try Part 1 and Part 3 of this trilogy.

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