The circumference of the rectangle is 24 cm, the ratio of length to width is 2:1, and the area of the rectangle is 2______ ．

24 △ 2 = 12, 2 + 1 = 3, so the length of the rectangle is 12 × 23 = 8 (CM), the width is 12 × 13 = 4 (CM), so the area of the rectangle is 8 × 4 = 32 (square cm), answer: the area of the rectangle is 32 square cm. So the answer is: 32 square cm

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