To find the area of an irregular polygon on a grid by counting square units, follow these steps:

1. Full Squares: Count all the squares that are entirely inside the figure. These contribute fully to the area.
2. Partial Squares: Count the squares that are partially covered. If a square is roughly half-covered, it can be approximated as 0.5 square units, or you can visually estimate fractions more precisely.
3. Add Them Together: Sum the full and partial squares to calculate the total area.

Could you provide the grid or an image of the polygon? This will help in giving you the exact area in square units.

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Follow-up Questions:

1. Are all sides of the polygon aligned to the grid lines?
2. Are any triangles or diagonal lines included that require approximation?
3. Is this problem purely for visual estimation, or does it need precise calculation?
4. Do you need a formula-based explanation for future calculations?
5. Would you like tips for handling polygons with irregular edges?

Tip: When counting partial squares, group them into pairs that approximately make up full squares to simplify calculations.