A square piece of paper is folded in half to form a rectangle. If the resulting rectangle has a perimeter of 18 inches, what is the area of the original square, in square inches?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A square piece of paper is folded in half to form a rectangle. If the resulting rectangle has a perimeter of 18 inches, what is the area of the original square, in square inches?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
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A square piece of paper is folded in half to form a rectangle. If the resulting rectangle has a perimeter of 18 inches, what is the area of the original square, in square inches?
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