The area of square ABCD is 64 square meters. The ratio of \(\overline{AE}\) to \(\overline{EB}\)is 1 : 1. The ratio of \(\overline{BF}\) to \(\overline{FC}\) is 1 : 1. What is the area of square EFGH?

8 square meters

16 square meters

32 square meters

64 square meters

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