To solve the problem, we need to calculate the perimeter of the rectangle, which is the sum of all its sides.

Step-by-Step Solution:

1. Identify the dimensions of the rectangle:

   • The horizontal lengths are given as $96 \, \text{cm}$ and $48 \, \text{cm}$ (as labeled on the top and the smaller rectangle).
   • The vertical lengths are $96 \, \text{cm}$ and $48 \, \text{cm}$ (as labeled along the sides).

2. Determine the full length of the rectangle:

   • The total horizontal length is: $96 \, \text{cm} + 96 \, \text{cm} = 192 \, \text{cm}.$
   • The total vertical length is: $48 \, \text{cm} + 48 \, \text{cm} = 96 \, \text{cm}.$

3. Use the perimeter formula: The formula for the perimeter of a rectangle is: $P = 2 \times (\text{Length} + \text{Width}).$ Substituting the dimensions: $P = 2 \times (192 \, \text{cm} + 96 \, \text{cm}),$ $P = 2 \times 288 \, \text{cm} = 576 \, \text{cm}.$

Final Answer:

The perimeter of the rectangle is 576 cm.

Would you like a further breakdown or explanation of any step? Let me know!

Here are 5 related questions for deeper understanding:

1. What is the formula for calculating the area of a rectangle?
2. How does the perimeter formula change for other shapes, like triangles or circles?
3. How would the perimeter change if the smaller rectangle was $60 \, \text{cm} \times 60 \, \text{cm}$?
4. What is the relationship between area and perimeter for a rectangle?
5. Can you calculate the diagonal length of this rectangle using the Pythagorean theorem?

Tip: Always double-check the dimensions provided to avoid errors when calculating the perimeter or area!