Let's analyze the grid in the image to determine how many rectangles can be formed. The figure consists of 2 rows and 4 columns of small squares. Rectangles can be formed by choosing two horizontal lines and two vertical lines from the grid.

Step-by-step breakdown:

• The grid has 3 horizontal dividing lines (top, middle, and bottom) and 5 vertical dividing lines.
• To form a rectangle, we must choose any two horizontal lines and any two vertical lines.

Calculation:

• The number of ways to choose 2 horizontal lines from 3 is $\binom{3}{2} = 3$.
• The number of ways to choose 2 vertical lines from 5 is $\binom{5}{2} = 10$.

Thus, the total number of rectangles is: $3 \times 10 = 30$

Conclusion:

There are 30 rectangles in this figure.

Do you need more details or have any questions? Here are some related questions for further exploration:

1. How many squares are there in the same grid?
2. What is the formula to calculate the number of rectangles in any grid?
3. How would the number of rectangles change if the grid had 3 rows and 4 columns instead?
4. What is the relationship between the number of lines and the number of rectangles in a grid?
5. Can you calculate the number of rectangles in a 4x4 grid?

Tip: The key to counting rectangles in a grid lies in selecting horizontal and vertical lines. Each rectangle is uniquely defined by two horizontal and two vertical lines.