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To find the scale factor, we divide the length of the enlarged side (8 cm) by the length of the original side (3 cm):
Scale factor = 8 cm / 3 cm
Simplifying the fraction, we get:
Scale factor = 8/3
Converting the fraction to a mixed number, we get:
Scale factor = 2 2/3
Therefore, the answer is A. 2 2/3.