
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Consider a rectangle which is divided into a grid of smaller rectangles by drawing a set of vertical and horizontal lines. The rectangle has dimensions 40 units by 10 units. Inside this, vertical lines are drawn at every 10 units of width, and horizontal lines are drawn at every 5 units of height. Additionally, draw a diagonal from each corner of the rectangle to the opposite corner. How many triangles are formed in this new configuration?

Present the answer in LaTex format: \boxed{Your answer}
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