Let's solve each problem step by step. The
area of a rectangle is calculated using the formula:
$$
\text{Area} = \text{length} \times \text{width}
$$
We'll apply this formula to each rectangle, making sure to keep units consistent.
---
1. Rectangle with length = 9 cm, width = 7 cm
$$
\text{Area} = 9 \, \text{cm} \times 7 \, \text{cm} = 63 \, \text{cm}^2
$$
✔ Answer: 63 cm²
---
2. Rectangle with length = 4 mm, width = 8 mm
$$
\text{Area} = 4 \, \text{mm} \times 8 \, \text{mm} = 32 \, \text{mm}^2
$$
✔ Answer: 32 mm²
---
3. Rectangle with length = 6 km, width = 3 km
$$
\text{Area} = 6 \, \text{km} \times 3 \, \text{km} = 18 \, \text{km}^2
$$
✔ Answer: 18 km²
---
4. Rectangle with length = 15 in, width = 5 in
$$
\text{Area} = 15 \, \text{in} \times 5 \, \text{in} = 75 \, \text{in}^2
$$
✔ Answer: 75 in²
---
5. Rectangle with sides 7 ft and 11 ft (rotated)
Even though it's rotated, it's still a rectangle. So:
$$
\text{Area} = 7 \, \text{ft} \times 11 \, \text{ft} = 77 \, \text{ft}^2
$$
✔ Answer: 77 ft²
---
6. Rectangle with length = 5 yd, width = 9 yd
$$
\text{Area} = 5 \, \text{yd} \times 9 \, \text{yd} = 45 \, \text{yd}^2
$$
✔ Answer: 45 yd²
---
7. Rectangle with length = 12 km, width = 6 km
$$
\text{Area} = 12 \, \text{km} \times 6 \, \text{km} = 72 \, \text{km}^2
$$
✔ Answer: 72 km²
---
8. Rectangle with length = 6 m, width = 5 m
$$
\text{Area} = 6 \, \text{m} \times 5 \, \text{m} = 30 \, \text{m}^2
$$
✔ Answer: 30 m²
---
✔ Final Answers:
| Problem | Area |
|--------|------|
| 1 | 63 cm² |
| 2 | 32 mm² |
| 3 | 18 km² |
| 4 | 75 in² |
| 5 | 77 ft² |
| 6 | 45 yd² |
| 7 | 72 km² |
| 8 | 30 m² |
---
🔍 Explanation:
- The area of a rectangle is always
length × width, regardless of orientation.
- Units must be consistent — we multiply the numbers and then square the unit (e.g., cm → cm²).
- All shapes here are rectangles, so the formula applies directly.
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Parent Tip: Review the logic above to help your child master the concept of area problems worksheet.
