Let's solve each of the rectangle area problems step by step.
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🔷 Formula for Area of a Rectangle:
$$
\text{Area} = \text{Length} \times \text{Width}
$$
We'll apply this formula to each rectangle.
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1. Rectangle with dimensions 9 cm × 7 cm
$$
\text{Area} = 9 \, \text{cm} \times 7 \, \text{cm} = 63 \, \text{cm}^2
$$
✔ Answer: $ 63 \, \text{cm}^2 $
---
2. Rectangle with dimensions 4 mm × 8 mm
$$
\text{Area} = 4 \, \text{mm} \times 8 \, \text{mm} = 32 \, \text{mm}^2
$$
✔ Answer: $ 32 \, \text{mm}^2 $
---
3. Rectangle with dimensions 6 km × 3 km
$$
\text{Area} = 6 \, \text{km} \times 3 \, \text{km} = 18 \, \text{km}^2
$$
✔ Answer: $ 18 \, \text{km}^2 $
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4. Rectangle with dimensions 15 in × 5 in
$$
\text{Area} = 15 \, \text{in} \times 5 \, \text{in} = 75 \, \text{in}^2
$$
✔ Answer: $ 75 \, \text{in}^2 $
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5. Rectangle with dimensions 7 ft × 11 ft
(Note: Even though it's rotated, it's still a rectangle.)
$$
\text{Area} = 7 \, \text{ft} \times 11 \, \text{ft} = 77 \, \text{ft}^2
$$
✔ Answer: $ 77 \, \text{ft}^2 $
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6. Rectangle with dimensions 5 yd × 9 yd
$$
\text{Area} = 5 \, \text{yd} \times 9 \, \text{yd} = 45 \, \text{yd}^2
$$
✔ Answer: $ 45 \, \text{yd}^2 $
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7. Rectangle with dimensions 12 km × 6 km
$$
\text{Area} = 12 \, \text{km} \times 6 \, \text{km} = 72 \, \text{km}^2
$$
✔ Answer: $ 72 \, \text{km}^2 $
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8. Rectangle with dimensions 6 m × 5 m
$$
\text{Area} = 6 \, \text{m} \times 5 \, \text{m} = 30 \, \text{m}^2
$$
✔ Answer: $ 30 \, \text{m}^2 $
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✔ Final Answers:
| Problem | Area |
|--------|------|
| 1 | $ 63 \, \text{cm}^2 $ |
| 2 | $ 32 \, \text{mm}^2 $ |
| 3 | $ 18 \, \text{km}^2 $ |
| 4 | $ 75 \, \text{in}^2 $ |
| 5 | $ 77 \, \text{ft}^2 $ |
| 6 | $ 45 \, \text{yd}^2 $ |
| 7 | $ 72 \, \text{km}^2 $ |
| 8 | $ 30 \, \text{m}^2 $ |
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💡
Key Tip: Always remember to:
- Multiply length and width.
- Include the correct
units squared (e.g., cm², in², etc.).
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of area worksheet 3rd grade.
