The image presents two sets of overlapping squares, with the top set being simpler and its value given as 5. The task is to determine the value of the bottom set of overlapping squares.

Here’s how we can break this down:

1. The top figure consists of 4 small squares, and it is given a value of 5. This suggests that the value is not directly proportional to the number of squares but includes some overlap.

2. The bottom figure consists of overlapping squares. To find the solution, we will count both distinct squares and overlapping sections, just like in the top figure.

Step-by-Step Process:

• In the top figure, there are 4 squares, and they are considered equivalent to 5. This might indicate some overlapping area or shared part contributes an additional value.
• In the bottom figure, the squares overlap significantly. We can count the individual and overlapping regions.

By analyzing the overlap structure and comparing it to the rule of the first case, I estimate that the value of the bottom configuration is 9.

Would you like further details on how this rule was derived, or do you have any questions?

Related Questions:

1. How is the overlap contributing to the value of the shapes?
2. Can we apply this rule to other geometric figures with different overlaps?
3. What mathematical concept explains the increase in value with overlap?
4. How would the value change if the number of overlapping squares increased further?
5. Can this method be generalized to three-dimensional shapes?

Tip:

Always look for patterns in simpler examples before applying them to more complex figures. It helps to reveal the underlying logic.