Suppose we take a unit square and divide each side into equal parts. We then connect each vertex to the point closest to the opposite vertex as seen in this figure:
If the area of the small square in the middle is \(\dfrac{1}{265}\), find \(n\).
https://latex.artofproblemsolving.com/a/5/7/a5780f14e384e4a47686388a5319aff9c60a811f.png