A non-square rectangle has integer dimensions. The number  of square units in its area is triple the number of units in its perimeter. What is the smallest possible length for the perimeter?
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<|im_start|>user
A non-square rectangle has integer dimensions. The number  of square units in its area is triple the number of units in its perimeter. What is the smallest possible length for the perimeter?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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A non-square rectangle has integer dimensions. The number  of square units in its area is triple the number of units in its perimeter. What is the smallest possible length for the perimeter?
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