https://file.aiquickdraw.com/mathbot/file/1726545673870ysi6a86p.jpg

Let's work through the problems in the image.

### B. Complete Me! (Perimeter of Parallelograms)

The perimeter \( P \) of a parallelogram is given by the formula:
\[
P = 2 \times ( \text{Length} + \text{Width} )
\]
For each parallelogram:

1. **Parallelogram tile**:
   - Length = 40 cm
   - Width = 25 cm
   \[
   P = 2 \times (40 + 25) = 2 \times 65 = 130 \, \text{cm}
   \]

2. **Parallelogram table**:
   - Length = 6.5 m
   - Width = 4.5 m
   \[
   P = 2 \times (6.5 + 4.5) = 2 \times 11 = 22 \, \text{m}
   \]

3. **Parallelogram frame**:
   - Length = 75 cm
   - Width = 40 cm
   \[
   P = 2 \times (75 + 40) = 2 \times 115 = 230 \, \text{cm}
   \]

4. **Parallelogram mirror**:
   - Length = 125 cm
   - Width = 50 cm
   \[
   P = 2 \times (125 + 50) = 2 \times 175 = 350 \, \text{cm}
   \]

5. **Parallelogram window**:
   - Length = 48 cm
   - Width = 24 cm
   \[
   P = 2 \times (48 + 24) = 2 \times 72 = 144 \, \text{cm}
   \]

### C. Match Me!

1. **21 cm + 21 cm + 18 cm + 18 cm = n**
   \[
   21 + 21 + 18 + 18 = 78 \, \text{cm} \quad \text{(Match with C)}
   \]

2. **(2 × 13 cm) + (2 × 10 cm) = n**
   \[
   2 \times 13 + 2 \times 10 = 26 + 20 = 46 \, \text{cm} \quad \text{(Match with E)}
   \]

3. **2 × (5 m + 8 m) = n**
   \[
   2 \times (5 + 8) = 2 \times 13 = 26 \, \text{m} \quad \text{(Match with B)}
   \]

4. **Parallelogram with 26 cm and 5 cm sides**:
   \[
   P = 2 \times (26 + 5) = 2 \times 31 = 62 \, \text{cm} \quad \text{(Match with D)}
   \]

5. **Parallelogram with 11 cm and 4 cm sides**:
   \[
   P = 2 \times (11 + 4) = 2 \times 15 = 30 \, \text{cm} \quad \text{(Match with A)}
   \]

### V. Synthesis/Extended Practice/Differentiation

You can answer the reflection questions based on your experience:
1. **What was easy about calculating the perimeter?**
   Calculating the perimeter is straightforward as it only involves adding the lengths of two adjacent sides and multiplying by 2.

2. **What was challenging about calculating the area?**
   Calculating the area might be more complex since it involves multiplying the base by the height, and sometimes it can be difficult to determine the correct height, especially if it's not perpendicular to the base.

---

Would you like to go over any details or ask further questions? Here are some related questions to deepen your understanding:

1. How do we find the area of a parallelogram?
2. What happens if we use different units (e.g., cm vs. m) for length and width?
3. How does the formula for the perimeter of a parallelogram compare with that of other shapes?
4. What if the given values are the diagonals of the parallelogram instead of sides?
5. How can we calculate the height of a parallelogram if it's not given directly?

**Tip:** Always ensure the units are consistent (e.g., both in meters or centimeters) when calculating the perimeter or area of a shape!

Solve perimeter and matching problems involving parallelograms based on the provided image.

Solve perimeter problems for parallelograms by applying the formula P = 2 × (Length + Width). The worksheet includes problems to calculate perimeters for different parallelograms and matching exercises. Ideal for Grade 4 students.

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