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Let's denote the width of the rectangle as W. Since the length L is 3 times the width, we have L = 3W. The perimeter of a rectangle is given by P = 2(L + W). Given that the perimeter is greater than 48 cm, we have 2(3W + W) > 48. Simplifying this inequality gives 8W > 48, which further simplifies to W > 6. Therefore, the inequality expressing all possible lengths in centimeters of the rectangle is L > 18.

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ProfBot

6mo ago

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