Area of a Rectangle Worksheets - Math Monks - Free Printable

Let's solve each problem step by step using the formula:

> Area of a Rectangle = Length × Width

We'll identify the length and width for each rectangle (or parallelogram-like shape), then calculate the area.

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Problem 1

- Given: Side lengths are 7 and 8
- Since it’s a rectangle, we can assign:
- Length = 8 (longer side)
- Width = 7
- Area = 8 × 7 = 56 square units

✔ Answer:
- Length = 8
- Width = 7
- Area = 56 sq units

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Problem 2

- Given: Side lengths are 2 and 11
- Assign:
- Length = 11
- Width = 2
- Area = 11 × 2 = 22 square units

✔ Answer:
- Length = 11
- Width = 2
- Area = 22 sq units

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Problem 3

- Given: Side lengths are 15 and 5
- Assign:
- Length = 15
- Width = 5
- Area = 15 × 5 = 75 square units

✔ Answer:
- Length = 15
- Width = 5
- Area = 75 sq units

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Problem 4

- Given: Side lengths are 22 and 3.5
- Assign:
- Length = 22
- Width = 3.5
- Area = 22 × 3.5 = ?

Let’s compute:
- 22 × 3.5 = 22 × (3 + 0.5) = (22×3) + (22×0.5) = 66 + 11 = 77 square units

✔ Answer:
- Length = 22
- Width = 3.5
- Area = 77 sq units

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Problem 5

- Given: Side lengths are 6 and 12
- Assign:
- Length = 12
- Width = 6
- Area = 12 × 6 = 72 square units

✔ Answer:
- Length = 12
- Width = 6
- Area = 72 sq units

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Problem 6

- This shape is rotated but still appears to be a rectangle with sides 4.5 and 6.5
- So:
- Length = 6.5
- Width = 4.5
- Area = 6.5 × 4.5

Let’s compute:
- 6.5 × 4.5 = (6 + 0.5)(4 + 0.5) = use multiplication:
- 6.5 × 4.5 = (65/10) × (45/10) = (65 × 45) / 100
- 65 × 45 = (60+5)(40+5) = 60×40 + 60×5 + 5×40 + 5×5 = 2400 + 300 + 200 + 25 = 2925
- So, 2925 / 100 = 29.25 square units

✔ Answer:
- Length = 6.5
- Width = 4.5
- Area = 29.25 sq units

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Problem 7

- Rotated rectangle with sides 1.5 and 8.5
- Assign:
- Length = 8.5
- Width = 1.5
- Area = 8.5 × 1.5

Compute:
- 8.5 × 1.5 = (8 + 0.5)(1 + 0.5) = or simply:
- 8.5 × 1.5 = (85/10) × (15/10) = (85 × 15)/100
- 85 × 15 = (80×15) + (5×15) = 1200 + 75 = 1275
- 1275 / 100 = 12.75 square units

✔ Answer:
- Length = 8.5
- Width = 1.5
- Area = 12.75 sq units

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✔ Final Answers Summary:

| Problem | Length | Width | Area (sq units) |
|--------|--------|-------|------------------|
| 1 | 8 | 7 | 56 |
| 2 | 11 | 2 | 22 |
| 3 | 15 | 5 | 75 |
| 4 | 22 | 3.5 | 77 |
| 5 | 12 | 6 | 72 |
| 6 | 6.5 | 4.5 | 29.25 |
| 7 | 8.5 | 1.5 | 12.75 |

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📌 Key Notes:

- Always multiply length × width, regardless of orientation.
- The longer side is typically considered "length", but either way, multiplication gives same result.
- For decimals, convert to fractions or use decimal multiplication carefully.

Let me know if you'd like this formatted as a printable answer key!