To determine whether Lewis is correct, let's analyze the problem systematically:

1. Observation from the image:

   • The grid shows that each square represents 1 square centimeter.
   • The shaded figure is a parallelogram.

2. Area of the parallelogram:

   • The formula for the area of a parallelogram is: $\text{Area} = \text{Base} \times \text{Height}$
   • From the grid:
     • The base of the parallelogram is 4 squares (4 cm).
     • The height of the parallelogram is 2 squares (2 cm).

   $\text{Area} = 4 \, \text{cm} \times 2 \, \text{cm} = 8 \, \text{cm}^2$

3. Conversion to square meters:

   • Since $1 \, \text{m}^2 = 10,000 \, \text{cm}^2$, we convert: $8 \, \text{cm}^2 \div 10,000 = 0.0008 \, \text{m}^2$

4. Conclusion:

   • Lewis claimed the area was 4 square meters, but the actual area is 0.0008 square meters.
   • Therefore, Lewis is incorrect.

Would you like a deeper explanation or have more questions?

Related Questions:

1. How do you find the area of other geometric shapes using a grid?
2. Why is the unit conversion from square centimeters to square meters important?
3. How does the base and height of a parallelogram relate to its area?
4. Can the area of irregular shapes also be calculated using grids?
5. What are common mistakes when converting between square units?

Tip:

Always double-check the units when solving area problems, as mismatched units can lead to significant errors.