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A square with side lengths 5 centimetres is positioned with one apex at the centre of a second square (which has side lengths of 4

A square with side lengths 5 centimetres is positioned with one apex at the centre of a second square (which has side lengths of 4 centimetres). The longest side of the overlapping (shaded) quadrilateral region has a length of 3 centimetres. Calculate the area of the shaded region. Show your full working-out together with an appropriately labelled sketch.

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