# Midpoint? What About Thirds?

**Geometry**Level 4

\(ABCD\) is a square with a side length of 18. 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 \(D\). Then, connect the points to get a not-necessarily-regular octagon as shown in the figure above. What is the area of the octagon?

**Bonus**: You may notice that the ratio between the segments of all the sides are all \(1:1:1\). Now, generalize this by considering the case of \(1:k:1\), where \(k\in\mathbb{N}\).