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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

 Dec 23, 2019
 #1
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n = 22.

 Jan 3, 2020

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