To find the total number of triangles in the figure, we need to count the triangles in each section of the diagram systematically.

The diagram is a rectangle divided into smaller sections with diagonals drawn.

Each small rectangle (e.g., ABFE, BCGF, CDHG) is divided by diagonals into 4 smaller triangles. Since there are 3 such rectangles, we have:

\(3 \times 4 = 12\) triangles

Consider triangles formed by extending lines across multiple sections. Each pair of adjacent sections shares additional triangles:

Triangles including points B, C: 2 additional triangles

Triangles including points F, G: 2 additional triangles

The entire rectangle ABCD is divided into triangles by its diagonals:

Additional 4 triangles

Consider triangles that span the entire figure (e.g., ACD, AHE):

There are 8 such triangles.

By summing all the triangles found in the above steps, we get the total number of triangles:

\(12 + 4 + 4 + 8 = 28\)

Therefore, the number of triangles in the figure is 28.