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The problem in the image is asking to calculate the area of the shaded part, given that the sum of the side lengths of the larger and smaller squares is 14 cm.

### Breakdown:
1. There are two squares: a large one and a small one.
2. The sum of the side lengths of the large square and the small square is 14 cm.
3. The problem asks to find the area of the shaded portion, which seems to be a triangle formed between the squares.

### Approach:
- Let the side length of the large square be \( x \), and the side length of the small square be \( y \).
- According to the problem, \( x + y = 14 \).
- The shaded region looks like a right triangle formed by the difference in the areas of the two squares, or as a combination of geometric shapes (likely trapezoid or triangles), depending on the alignment.

To solve this:
1. First, express \( y \) as \( y = 14 - x \).
2. Calculate the area of the triangle using geometry based on the position of the squares or any specific relationships between the shaded and unshaded portions.

Would you like to confirm the exact dimensions for the large and small square or proceed with the next steps based on assumptions about this configuration?

The sum of the side lengths of the larger and smaller squares is 14 cm. What is the area of the shaded region?

Find the area of the shaded region formed by a right triangle between a large square and a small square, where the sum of the squares' sides is 14 cm. This geometry problem is suitable for students in Grades 6-8 and involves calculating the area of squares and triangles.

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