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The question is as follows:

> The rectangular floor of a classroom is 36 feet in length and 30 feet in width. A scale drawing of the floor has a length of 12 inches. What is the area, in square inches, of the floor in the scale drawing?

### Solution

1. **Determine the scale factor**:
   - The actual length of the floor is 36 feet, and the scaled length is 12 inches.
   - Convert 36 feet to inches (since 1 foot = 12 inches):
     \[
     36 \text{ feet} \times 12 = 432 \text{ inches}
     \]
   - The scale factor (actual to scale) is:
     \[
     \frac{\text{scaled length}}{\text{actual length}} = \frac{12}{432} = \frac{1}{36}
     \]

2. **Apply the scale factor to the width**:
   - The actual width of the floor is 30 feet, which is:
     \[
     30 \text{ feet} \times 12 = 360 \text{ inches}
     \]
   - The scaled width will be:
     \[
     360 \times \frac{1}{36} = 10 \text{ inches}
     \]

3. **Calculate the area of the scaled floor**:
   - The area in the scale drawing is:
     \[
     \text{length} \times \text{width} = 12 \text{ inches} \times 10 \text{ inches} = 120 \text{ square inches}
     \]

### Answer:
The area, in square inches, of the floor in the scale drawing is:
\[
\boxed{120} \text{ in}^2
\]

Would you like further details or have any questions about this solution?

### Related Questions:
1. How would you calculate the scale factor if the scaled drawing had different dimensions?
2. What would happen to the area if the scale factor was changed?
3. How do you convert measurements when different units are involved in scaling problems?
4. Can you verify the scale factor with another approach?
5. How does changing the scale factor affect perimeter as well as area?

**Tip:** Always convert units before calculating scale factors to ensure accurate scaling measurements.

The rectangular floor of a classroom is 36 feet in length and 30 feet in width. A scale drawing of the floor has a length of 12 inches. What is the area, in square inches, of the floor in the scale drawing?

Calculate the area of a classroom floor using scaling concepts. The original room dimensions are 36 feet by 30 feet, with a scaled length of 12 inches. The problem explores the use of scale factors and proportional scaling to determine the area in square inches.

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