The problem involves two identical rectangular cards each measuring 20 cm by 12 cm, which are folded to form two different rectangular figures. We are asked to label the breadth and height of one of the figures, which is shown in the provided image.

Let's analyze the figure:

1. The length of the rectangular figure shown is 12 cm (as labeled in the image).
2. Since the original card is folded, we need to determine the other dimensions.

Given:

• Each card has a dimension of 20 cm by 12 cm.
• When folded, one dimension will remain unchanged while the other is divided.

Since the length is given as 12 cm (which is one of the original dimensions), the other two dimensions (breadth and height) must come from the folding process. We will assume the card is folded along the 20 cm side.

Therefore:

• The breadth is 12 cm (remains unchanged).
• The height is 20 cm divided by 2, which is 10 cm.

So, the labeled dimensions of the figure are:

• Breadth: 12 cm
• Height: 10 cm

Would you like more details or have any questions?

Here are five related questions to expand your understanding:

1. How would the dimensions change if the card were folded along the 12 cm side instead?
2. What would the volume of the rectangular figure be in this problem?
3. How can we form different shapes by folding the cards in other ways?
4. What are some real-life applications of such folding problems?
5. How can the concept of folding help in understanding the properties of 3D shapes?

Tip: When solving geometry problems involving folding, always visualize or sketch the process to understand the changes in dimensions accurately.