\( A B C D \) is a square. \( E \) and \( G \) are the midpoints of \( A D \) and \( B C \), respectively. Quantity A Quantity B The perimeter of parallelogram \( E F G H \) \( \frac{1}{2} \) of the perimeter of square \( A B C D \) Quantity A is greater. Quantity B is greater. The two quantities are equal. The relationship cannot be determined from the information given. Select one answer choice.
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