7.g.1 Worksheets | Free - CommonCoreSheets - Free Printable

Sure! Let’s solve each problem step by step.

You’re given scale rectangles — meaning the dimensions shown (in cm) are scaled drawings, and you must convert them to actual feet using the scale provided (e.g., “1 cm = 9 ft”).

Then, you’ll calculate the actual area in square feet by multiplying actual width × actual height, and round the area to the nearest whole number.

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🔢 General Formula:

- Actual Width (ft) = Measured Width (cm) × Scale (ft/cm)
- Actual Height (ft) = Measured Height (cm) × Scale (ft/cm)
- Actual Area (ft²) = Actual Width × Actual Height → Round to nearest whole number

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Let’s go one by one:

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1)

- Width: 1.9 cm, Height: 4.5 cm
- Scale: 1 cm = 9 ft

✔ Actual Width = 1.9 × 9 = 17.1 ft
✔ Actual Height = 4.5 × 9 = 40.5 ft
✔ Area = 17.1 × 40.5 = 692.55 → Round to 693 ft²

Answer: 17.1 ft, 40.5 ft, 693 ft²

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2)

- Width: 3.7 cm, Height: 2.4 cm
- Scale: 1 cm = 10 ft

✔ Actual Width = 3.7 × 10 = 37 ft
✔ Actual Height = 2.4 × 10 = 24 ft
✔ Area = 37 × 24 = 888 ft²

Answer: 37 ft, 24 ft, 888 ft²

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3)

- Width: 4.9 cm, Height: 2.2 cm
- Scale: 1 cm = 6 ft

✔ Actual Width = 4.9 × 6 = 29.4 ft
✔ Actual Height = 2.2 × 6 = 13.2 ft
✔ Area = 29.4 × 13.2 = 388.08 → Round to 388 ft²

Answer: 29.4 ft, 13.2 ft, 388 ft²

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4)

- Width: 3.4 cm, Height: 2.4 cm
- Scale: 1 cm = 8 ft

✔ Actual Width = 3.4 × 8 = 27.2 ft
✔ Actual Height = 2.4 × 8 = 19.2 ft
✔ Area = 27.2 × 19.2 = 522.24 → Round to 522 ft²

Answer: 27.2 ft, 19.2 ft, 522 ft²

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5)

- Width: 5 cm, Height: 1.3 cm
- Scale: 1 cm = 10 ft

✔ Actual Width = 5 × 10 = 50 ft
✔ Actual Height = 1.3 × 10 = 13 ft
✔ Area = 50 × 13 = 650 ft²

Answer: 50 ft, 13 ft, 650 ft²

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6)

- Width: 2.7 cm, Height: 2.9 cm
- Scale: 1 cm = 4 ft

✔ Actual Width = 2.7 × 4 = 10.8 ft
✔ Actual Height = 2.9 × 4 = 11.6 ft
✔ Area = 10.8 × 11.6 = 125.28 → Round to 125 ft²

Answer: 10.8 ft, 11.6 ft, 125 ft²

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7)

- Width: 4.7 cm, Height: 2.3 cm
- Scale: 1 cm = 7 ft

✔ Actual Width = 4.7 × 7 = 32.9 ft
✔ Actual Height = 2.3 × 7 = 16.1 ft
✔ Area = 32.9 × 16.1 = 529.69 → Round to 530 ft²

Answer: 32.9 ft, 16.1 ft, 530 ft²

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8)

- Width: 1.6 cm, Height: 1.2 cm
- Scale: 1 cm = 5 ft

✔ Actual Width = 1.6 × 5 = 8 ft
✔ Actual Height = 1.2 × 5 = 6 ft
✔ Area = 8 × 6 = 48 ft²

Answer: 8 ft, 6 ft, 48 ft²

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## ✔ Final Answers (Fill in the Answer Box):

| Problem | Width (ft) | Height (ft) | Area (ft²) |
|---------|------------|-------------|------------|
| 1 | 17.1 | 40.5 | 693 |
| 2 | 37 | 24 | 888 |
| 3 | 29.4 | 13.2 | 388 |
| 4 | 27.2 | 19.2 | 522 |
| 5 | 50 | 13 | 650 |
| 6 | 10.8 | 11.6 | 125 |
| 7 | 32.9 | 16.1 | 530 |
| 8 | 8 | 6 | 48 |

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📌 Note: The worksheet asks to round only the area to the nearest whole number — so widths and heights are kept as decimals if needed (as shown).

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