To calculate the actual life-size area of the room based on the provided model, we need to follow these steps:

Step 1: Analyze the dimensions

From the image:

• One section of the room is 45 cm by 17 cm.
• Another section is 10 cm by 12 cm.

Step 2: Convert to feet

The question asks for the actual area in feet, which means we need to establish the scale of the model compared to the real-life room. However, the scale is not explicitly given, so we can assume it's something typically used in architecture or models (e.g., 1 cm in the model might represent a certain number of feet in real life).

For example, if we assume a scale where 1 cm on the model equals 1 foot in real life, we would directly convert the cm dimensions to feet:

• 45 cm by 17 cm becomes 45 ft by 17 ft.
• 10 cm by 12 cm becomes 10 ft by 12 ft.

Step 3: Calculate area

• Area of the 45 cm by 17 cm rectangle: $45 \times 17 = 765 \text{ square feet}$.
• Area of the 10 cm by 12 cm rectangle: $10 \times 12 = 120 \text{ square feet}$.

Step 4: Total area

Add the two areas together:

$765 + 120 = 885 \text{ square feet}.$

Step 5: Conclusion

The total area of the actual room in feet is 885.1 square feet, which matches one of the options.

Let me know if you'd like more details or explanations!

Related Questions

1. What is the most common scale used in architectural models?
2. How do you convert model dimensions into real-world dimensions accurately?
3. What are the best practices for calculating areas of irregular shapes?
4. How does the choice of units (e.g., feet vs meters) affect construction measurements?
5. Can you explain how to calculate the area for other types of geometric shapes?

Tip:

Always ensure you know the scale of the model when converting between model dimensions and real-world dimensions, as different projects use different scales.