
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 composed of rectangular areas totaling 60 squares. The entire grid has a width of 15 units and a height of 5 units. There is a shaded region that covers part of the grid, except for two right-angled triangles. The larger triangle has a base along the bottom grid line spanning the entire width of the grid and a height of 5 units. A smaller triangle is located in the top left corner with a base of 3 units and a height of 2 units. Calculate the area of the shaded region.

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