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

###### Image Credit Aditya Raut

**Note**:-

The Octagon may or may not be a

**regular**.You can find more such problems here

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