Hexagons
There is a square ABCD, a square EFGD, and a rectangle HIJD. Points J and G lie on side CD, with DJ less than DG, and points H and E lie on side DA, with DH less than DE. We also know that DJ equals 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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