Let's solve the problem step by step.

Part (a): Finding the area of the shape.

The grid in the image shows squares with dimensions of $1 \, \text{cm} \times 1 \, \text{cm}$. To find the area of the shape, we can count the number of squares fully or partially inside the shape.

From the image, it appears that:

• Each full square contributes an area of $1 \, \text{cm}^2$.
• There are 14 full squares shaded.

Thus, the total area of the shape is:

$\text{Area} = 14 \, \text{cm}^2$

Part (b): Drawing a different shape with the same area.

For this part, the requirement is to draw a different shape with an area of 14 cm². You can achieve this by rearranging the full squares in any configuration that still gives a total of 14 squares.

Would you like help with creating or visualizing this alternate shape?

Do you have any questions about the solution?

Here are 5 questions related to this concept:

1. How can you find the area of irregular shapes on a grid?
2. Can a shape have the same area but a different perimeter?
3. What is the difference between area and perimeter?
4. How can decomposing shapes help in calculating areas?
5. What other methods can you use to calculate the area of irregular shapes?

Tip: When counting areas on a grid, focus on counting whole and partial squares carefully to avoid overestimating or underestimating the area.