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The perimeter of a rectangle is 24 cm and its length is 8 cm. The formula for the perimeter of a rectangle is (length + width) * 2. By using this formula, we can find the width of the rectangle by substituting the given values. (8 + width) * 2 = 24, which simplifies to 8 + width = 12. Then, by subtracting 8 from both sides, we find that the width of the rectangle is 4 cm. Therefore, the width of the rectangle is 4 cm. Source: Wikipedia.