Hexagons
There is a square ABCD, a square EFGD, and a rectangle HIJD, points JG lie on the side CD, while DJ is less than DG, and points HE lie on the side DA, while DH is less than DE. We also know that DJ is equal to GC. Hexagon ABCGFE has a perimeter of 96 cm, hexagon EFGJIH has a perimeter of 60 cm and rectangle HIJD has a perimeter of 28 cm. Determine the area of hexagon EFGJIH.
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