The shorter piece is 1 unit and equals 13 cm. The longer piece is 5 units.

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• $$\frac{1}{1}$$ unit → 13 cm (shorter piece)
• Longer piece → 5 units → 5 × 13 = 65 cm

The longer piece is 65 cm long.
Check: Total length = 13 + 65 = 78 cm. Ratio 13 : 65 = 1 : 5. ✓