How many rectangles are there in the given figure?

The correct answer is 31.

To find the total number of rectangles in the given figure, we can break the main grid structure into distinct regions and systematically count rectangles of different combinations.

Image reference:

Step-by-Step Breakdown:

1. Individual (Single) Small Rectangles:

Looking at the grid partitions:

- Top row: 3 individual rectangles

- Second row: 3 individual rectangles

- Bottom section (left big region): 1 large rectangle

- Bottom section (right column): 2 smaller rectangles

Total individual basic rectangles = 3 + 3 + 1 + 2 = 9 rectangles.

2. Combining 2 Adjacent Rectangles:

- Horizontally combined pairs: 5 rectangles

- Vertically combined pairs: 5 rectangles

Total 2-unit rectangles = 10 rectangles.

3. Combining 3 or 4 Rectangles:

- Full horizontal rows across sections: 4 rectangles

- Vertical blocks combining top and middle rows: 4 rectangles

Total 3/4-unit combined rectangles = 8 rectangles.

4. Combining Larger Composite Sections and the Main Outer Rectangle:

- Combining full left region with middle columns: 3 rectangles

- The entire outer boundary (1 complete large rectangle): 1 rectangle

Total larger composite rectangles = 4 rectangles.

Summing up all the counted categories:

Total Number of Rectangles = 9 + 10 + 8 + 4 = 31.

Therefore, the total number of rectangles in the given figure is 31.