The diagram shows a regular octagon $$\(A B C D E F G H\)$$. Diagram NOT accurately drawn Each side of the octagon has length $$\(10 \mathrm{~cm}\)$$. Find the area of the shaded region $$\(A C D E H\)$$. Give your answer correct to the nearest $$\(\mathrm{cm}^{2}\)$$ $$\(\mathrm{cm}^{2}\)$$

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