I've seen it before - 6

Geometry Level 5

If \(ABCD\) is a square with side \(18\text{ cm}\) and \(E, F, G, H\) are the midpoints of \(AB, BC, CD, DA\) repectively, then join \(A\) to \(G\) and \(F\), \(B\) to \(G\) and \(H\), \(C\) to \(H\) and \(E\), \(D\) to \(E\) and \(F\). An octagon is formed from the intersection of these lines, then the area of the octagon (the shaded region in the figure) is


  • The Octagon may or may not be a regular.

  • You can find more such problems here

Image Credit Aditya Raut

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