To match the lengths with their equivalent values, we need to convert all the measurements into the same unit. Let's convert everything to inches first:
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Yards to Inches: 1 yard = 36 inches
- 3 yards = 3 × 36 inches = 108 inches
- 2 yards 5 inches = (2 × 36) + 5 inches = 72 + 5 = 77 inches
- q yard = q × 36 inches
- 9 feet = 9 × 12 inches = 108 inches
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Feet to Inches: 1 foot = 12 inches
- 2 feet 8 inches = (2 × 12) + 8 = 24 + 8 = 32 inches
Now we can list the measurements in inches and find their equivalents:
- 3 yards = 108 inches
- 77 inches = 77 inches
- 48 inches = 48 inches
- 32 inches = 32 inches
- 2 yards 5 inches = 77 inches
- 2 feet 8 inches = 32 inches
- q yard q foot = (36q + 12q) inches = (48q) inches
- 9 feet = 108 inches
Now we can match them one-to-one:
- 3 yards = 9 feet
- 77 inches = 2 yards 5 inches
- 48 inches = (No equivalent provided)
- 32 inches = 2 feet 8 inches
- 2 yards 5 inches = 77 inches
- 2 feet 8 inches = 32 inches
- q yard q foot = 48q inches (requires specific values for equivalence)
- 9 feet = 3 yards
So the matched pairs are:
- 3 yards ↔ 9 feet
- 77 inches ↔ 2 yards 5 inches
- 32 inches ↔ 2 feet 8 inches
Note: 48 inches remains unmatched unless additional values for 'q' are provided to make a complete match. If q is specified, we can also match it accordingly.