The chess board in the shape of a square with the side length 8 units is cut into the four
pieces like shown below. Given pieces can be rearranged into the rectangle with side
lengths 13 units and 5 units. Looking at the areas, your friend claims that the area of the
square (64 square units) is equal to the area of the rectangle (65 square units). Explain to
your friend the mistake they have made.
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