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The problem involves calculating the perimeter of a rectangle that is divided into smaller rectangles, with the length of the smaller rectangles given.

Given:
- The height of one of the smaller rectangles is \(14 \text{ cm}\).

Let's break down the problem step by step:

1. **Understand the layout**:
   - There are 4 identical rectangles arranged to form a larger square.

2. **Dimensions of smaller rectangles**:
   - Each smaller rectangle has a height of \(14 \text{ cm}\).

3. **Dimensions of the larger square**:
   - The height of two smaller rectangles stacked vertically will be \(2 \times 14 = 28 \text{ cm}\).

4. **Perimeter calculation**:
   - The perimeter of the original smaller rectangle can be found using the total height and width of the arrangement.
   - For a smaller rectangle:
     - If the height is \(14 \text{ cm}\), and assuming the arrangement forms a square when four rectangles are placed together, the width can be derived from the larger square's side.
     - The side of the larger square is \(28 \text{ cm}\).

5. **Assumption**:
   - If the larger square side is \(28 \text{ cm}\), the original smaller rectangle dimensions would be \(14 \text{ cm}\) (height) and \(14 \text{ cm}\) (width).

6. **Final perimeter calculation**:
   - Perimeter of the smaller rectangle \(= 2 \times (\text{height} + \text{width})\)
   - \(= 2 \times (14 + 14) = 2 \times 28 = 56 \text{ cm}\)

Therefore, the perimeter of one of the smaller rectangles is \(56 \text{ cm}\).

Would you like more details or have any questions about this problem?

Here are five questions you can ask next:
1. How do you calculate the area of a composite shape?
2. What are the properties of similar rectangles?
3. How can you find the length of the diagonal of a rectangle?
4. What is the formula for the perimeter of a polygon?
5. How do you solve problems involving nested shapes?

**Tip:** Always double-check the given dimensions and relationships in geometric problems to ensure accurate calculations.

Learn how to calculate the perimeter of rectangles arranged to form a larger square using the given dimensions. This problem involves basic geometry concepts and requires understanding the perimeter formula of rectangles. Suitable for students in Grades 5-7.

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