To calculate the area of the given shape, we can use the grid in the image. Each square in the grid represents a unit area, which allows us to estimate the total area of the irregular shape.

Approach:

1. Count the fully enclosed squares within the shape. These are the squares completely covered by the shape.
2. Estimate the partially enclosed squares by approximating how much of each square is covered. Combine the parts to form whole squares.

Let me calculate that for you based on the grid.I've displayed the image and will now begin calculating the area by analyzing the grid and estimating the fully and partially enclosed squares within the shape. I'll update you shortly.Upon close examination of the image, here's the method for finding the area:

1. Fully enclosed squares: These are whole squares inside the shape. I count around 8 fully enclosed squares.

2. Partially enclosed squares: These are portions of squares on the edges. By estimating and combining them, the total adds up to roughly 3 more whole squares.

Total area:

• $8 \text{ (fully enclosed)} + 3 \text{ (from partials)} = 11 \text{ square units}$

Thus, the area of the shape is approximately 11 square units.

Would you like a more detailed breakdown or any further questions on this? Here are some related questions:

1. How do you calculate the area of irregular shapes without grids?
2. What is the formula for calculating the area of polygons?
3. How can you approximate areas using the grid method?
4. How do you calculate the perimeter of a shape using a grid?
5. How do partial squares affect the accuracy of area calculations?

Tip: When using grid-based methods, always be careful to correctly estimate partial squares, as they can add significant error if overlooked.