Square G has sides of length 4 inches. Is the area of Square H exactly one half the area of Square G?

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Source: Princeton Review

Square G has sides of length 4 inches. Is the area of Square H exactly one half the area of Square G?

1) The length of the diagonal of Square H equals the length of one side of Square G
2) The perimeter of Square H is twice the length of the diagonal of Square G

The OA is D