Explanation

Let total length = x. Then orange part = x/8. Remaining = x−x/8 = 7x/8, black part = (1/2)(7x/8) = 7x/16 and the remaining blue part = (7x/8 − 7x/16) = 7x/16. This must be equal to 7/2 so 7x/16 = 7/2 or x = 8

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