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Math worksheet for calculating the area of rectangles using decimal measurements.

Worksheet titled "Area of a Rectangle | Decimals" with nine rectangles, each labeled with decimal dimensions in inches, feet, and yards, and a blank line for calculating the area.

Worksheet titled "Area of a Rectangle | Decimals" with nine rectangles, each labeled with decimal dimensions in inches, feet, and yards, and a blank line for calculating the area.

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Show Answer Key & Explanations Step-by-step solution for: Area of Rectangles with Decimal Side Lengths Worksheets
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.

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