To calculate the area of the wall shown in the image, let's break it down into manageable parts:

1. Wall Dimensions:

The house has a rectangular section for the wall. Its dimensions are provided:

• Height of the wall (excluding the triangular roof): 6 m
• Width of the wall: 7 m

So, the area of the rectangular wall is: $\text{Area of the rectangle} = 6 \, \text{m} \times 7 \, \text{m} = 42 \, \text{m}^2$

2. Windows and Door Areas:

We need to subtract the areas of the windows and the door:

• There are 3 windows, each measuring $1 \, \text{m} \times 1 \, \text{m} = 1 \, \text{m}^2$.
  • Total area of the windows: $3 \times 1 \, \text{m}^2 = 3 \, \text{m}^2$
• The door measures $1 \, \text{m} \times 2 \, \text{m} = 2 \, \text{m}^2$.

3. Final Calculation:

The total area of the windows and the door is: $3 \, \text{m}^2 \, (\text{windows}) + 2 \, \text{m}^2 \, (\text{door}) = 5 \, \text{m}^2$

Now, subtract the area of the windows and door from the total area of the wall: $\text{Net area of the wall} = 42 \, \text{m}^2 - 5 \, \text{m}^2 = 37 \, \text{m}^2$

Thus, the area of the wall is 37 m².

Would you like more details or have any questions about the process?

Related Questions:

1. How do we calculate the area of a triangular section like the roof?
2. What is the total surface area of the entire house facade, including the roof?
3. How would we calculate the wall area for all sides of the house?
4. How does adding more windows affect the overall wall area?
5. Can we use this process to calculate areas for more complex shapes?

Tip:

When calculating areas, always break down the figure into simple shapes (rectangles, triangles, circles) for easier computation.