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There is a wall with length 4 feet 2 inches and height 9 feet. There is a skirting of 4 inches which makes the height 8 feet 8 inches. There is a door with height 6 feet 11 inches and 3 feet 2 inches wide. On the left side of door the wall is 2 1/4 inches and on the right side the wall is 9 3/4 inches. What is the square feet of the wall?

Let's calculate the square footage of the wall by breaking it into several components and subtracting the area of the door.

### 1. Dimensions of the wall:
- **Total height**: 9 feet
- **Total width**: 4 feet 2 inches = $4 \frac{2}{12}$ feet = 4.167 feet

### 2. Skirting:
- The height of the skirting is 4 inches, which is $ \frac{4}{12} = 0.333 $ feet.
- This reduces the effective height of the wall to $9 - 0.333 = 8.667$ feet or 8 feet 8 inches.

### 3. Door dimensions:
- **Height of the door**: 6 feet 11 inches = $6 \frac{11}{12} = 6.917$ feet
- **Width of the door**: 3 feet 2 inches = $3 \frac{2}{12} = 3.167$ feet

### 4. Side wall thickness:
- **Left side wall**: 2 1/4 inches = $ \frac{2.25}{12} = 0.1875$ feet
- **Right side wall**: 9 3/4 inches = $ \frac{9.75}{12} = 0.8125$ feet

### Calculation of the Wall Area:
#### Total wall area:
\[
\text{Total Wall Area} = \text{Width} \times \text{Height} = 4.167 \, \text{ft} \times 8.667 \, \text{ft} = 36.12 \, \text{sq ft}
\]

#### Door area:
\[
\text{Door Area} = \text{Width} \times \text{Height} = 3.167 \, \text{ft} \times 6.917 \, \text{ft} = 21.91 \, \text{sq ft}
\]

#### Net Wall Area (subtracting door):
\[
\text{Net Wall Area} = \text{Total Wall Area} - \text{Door Area} = 36.12 \, \text{sq ft} - 21.91 \, \text{sq ft} = 14.21 \, \text{sq ft}
\]

Thus, the area of the wall is **14.21 square feet**.

Would you like more details or any clarifications?

Here are 5 related questions:
1. How would adding windows affect the total wall area?
2. What would be the cost of painting the wall if the rate is $2 per square foot?
3. How does the skirting size impact the overall wall height?
4. How would we calculate the area if the wall was a triangle or irregular shape?
5. What is the perimeter of the door in feet?

**Tip**: When dealing with mixed units (feet and inches), always convert them to a consistent unit (e.g., feet) for easier calculations.

Learn how to calculate the square footage of a wall with a door and skirting using area subtraction. This example covers unit conversion, the impact of skirting on wall height, and step-by-step calculations for the total wall and door areas. Suitable for students in Grades 7-9.

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