
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
In the diagram, the grid is made up of squares. What is the area of the shaded region if the grid now forms a larger rectangle divided by a diagonal from one corner to the opposite side, and the shaded region is everything below this diagonal? Assume the dimensions of the rectangle are 15 units wide and 5 units high.

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