- Problem 1: Gina's actual trip distance is 70 miles. (35 inches on map × 2 miles per inch)
- Problem 2: The model airplane wings will be 6 feet long. (2ft original × 3 scale factor)
- Problem 3: Scale factor = 0.5 (1.75m / 3.5m)
- Problem 4: Scale factor = 0.25 (0.75m / 3m)
- Problem 5: Scale factor = 0.5 (1.75m / 3.5m)
- Problem 6: Scale factor = 0.5 (2m / 4m)
- Problem 7: Scale factor = 0.5 (12cm / 24cm)
- Problem 8: Scale factor = 0.5 (3cm / 6cm)
- Problem 9: Actual area of the king’s room is 75 square inches. (25 in × 3 in × 1 ft²/144 in² × 144 in²/ft² = 75 ft²; or directly 25×3=75 sq in if units are consistent)
- Problem 10: Area after scale factor 3 is 288 square cm. (32 cm² × 3² = 288 cm²)
- Problem 11: New garden area is 12 square feet. (4 ft × 3 ft = 12 ft²)
- Problem 12: Swimming pool area is 52.5 square feet. (15 ft × 3.5 ft = 52.5 ft²)
- Problem 13: 32 plants will be planted. (8 ft² × 4 plants/ft² = 32 plants)
- Problem 14: The rectangle drawn should have dimensions 10 cm by 8 cm (since 15 in × 2/3 = 10 in, 12 in × 2/3 = 8 in; assuming 1 in = 1 cm for drawing purposes).
Parent Tip: Review the logic above to help your child master the concept of 7th grade scale factor worksheet.