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 multiply the given decimal dimensions correctly.
---
1)
- Length = 7.1 in
- Width = 16.6 in
$$
\text{Area} = 7.1 \times 16.6 = ?
$$
$$
7.1 \times 16.6 = (7 \times 16.6) + (0.1 \times 16.6) = 117.2 + 1.66 = 118.86 \text{ in}^2
$$
✔ Area = 118.86 in²
---
2)
- Length = 11.3 ft
- Width = 5 ft
$$
\text{Area} = 11.3 \times 5 = 56.5 \text{ ft}^2
$$
✔ Area = 56.5 ft²
---
3)
- Length = 8.2 yd
- Width = 2.9 yd
$$
\text{Area} = 8.2 \times 2.9 = ?
$$
Break it down:
$$
8.2 \times 2.9 = (8 \times 2.9) + (0.2 \times 2.9) = 23.2 + 0.58 = 23.78 \text{ yd}^2
$$
✔ Area = 23.78 yd²
---
4)
- Length = 17.8 yd
- Width = 3.9 yd
$$
\text{Area} = 17.8 \times 3.9 = ?
$$
$$
17.8 \times 3.9 = (17 \times 3.9) + (0.8 \times 3.9) = 66.3 + 3.12 = 69.42 \text{ yd}^2
$$
✔ Area = 69.42 yd²
---
5)
- Length = 12.4 in
- Width = 10.5 in
$$
\text{Area} = 12.4 \times 10.5 = ?
$$
$$
12.4 \times 10.5 = (12 \times 10.5) + (0.4 \times 10.5) = 126 + 4.2 = 130.2 \text{ in}^2
$$
✔ Area = 130.2 in²
---
6)
- Length = 7.7 ft
- Width = 9.7 ft
$$
\text{Area} = 7.7 \times 9.7 = ?
$$
$$
7.7 \times 9.7 = (7 \times 9.7) + (0.7 \times 9.7) = 67.9 + 6.79 = 74.69 \text{ ft}^2
$$
✔ Area = 74.69 ft²
---
7)
- Length = 14.9 ft
- Width = 6.4 ft
$$
\text{Area} = 14.9 \times 6.4 = ?
$$
$$
14.9 \times 6.4 = (14 \times 6.4) + (0.9 \times 6.4) = 89.6 + 5.76 = 95.36 \text{ ft}^2
$$
✔ Area = 95.36 ft²
---
8)
- Length = 13.6 yd
- Width = 5 yd
$$
\text{Area} = 13.6 \times 5 = 68 \text{ yd}^2
$$
✔ Area = 68 yd²
---
9)
- Length = 15.5 in
- Width = 4.2 in
$$
\text{Area} = 15.5 \times 4.2 = ?
$$
$$
15.5 \times 4.2 = (15 \times 4.2) + (0.5 \times 4.2) = 63 + 2.1 = 65.1 \text{ in}^2
$$
✔ Area = 65.1 in²
---
✔ Final Answers:
| Problem | Area |
|--------|------|
| 1) | 118.86 in² |
| 2) | 56.5 ft² |
| 3) | 23.78 yd² |
| 4) | 69.42 yd² |
| 5) | 130.2 in² |
| 6) | 74.69 ft² |
| 7) | 95.36 ft² |
| 8) | 68 yd² |
| 9) | 65.1 in² |
---
💡
Tip: Always check units — make sure they are consistent and include the correct unit squared (e.g., in², ft², yd²) in your answer.
Let me know if you'd like a printable version or explanation for any specific one!
Parent Tip: Review the logic above to help your child master the concept of worksheet for finding area of rectangles and squares.