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To find the area of the real bedroom, let's go through the steps:

1. **Identify the Dimensions in the Scale Drawing:**
   - The width of the bedroom is given as \(5 \, \text{cm}\).
   - The height of the bedroom is \(10 \, \text{cm}\).

2. **Convert the Scale Drawing to Actual Measurements:**
   - According to the problem, \(5 \, \text{cm}\) on the drawing represents \(6 \, \text{m}\) in real life.
   - Thus, each \(1 \, \text{cm}\) on the drawing represents \( \frac{6 \, \text{m}}{5} = 1.2 \, \text{m}\) in real life.

3. **Calculate the Real Dimensions of the Bedroom:**
   - **Width of the bedroom in real life:** \(5 \, \text{cm} \times 1.2 \, \text{m/cm} = 6 \, \text{m}\).
   - **Height of the bedroom in real life:** \(10 \, \text{cm} \times 1.2 \, \text{m/cm} = 12 \, \text{m}\).

4. **Calculate the Area of the Real Bedroom:**
   - Area \(= \text{width} \times \text{height}\)
   - Area \(= 6 \, \text{m} \times 12 \, \text{m} = 72 \, \text{m}^2\).

**Answer:**
The area of the real bedroom is \(72 \, \text{m}^2\).

Would you like more details on any part of this calculation? 

Here are five additional related questions for further practice:

1. How would the area change if each centimeter represented 7 meters instead of 6?
2. If the living room has dimensions of 11 cm by 11 cm in the drawing, what is its real area?
3. How would you calculate the perimeter of the real bedroom?
4. If the real apartment had an additional 15 m\(^2\) bathroom, what would be the total area?
5. What would be the length of the bedroom's diagonal in real life?

**Tip:** Always confirm the scale before calculating real-life dimensions to ensure accuracy.

A scale drawing for an apartment is shown below. In the drawing, 5 cm represents 6 m. Assuming the bedroom is rectangular, find the area of the real bedroom.

Learn how to calculate the area of a real bedroom using a scale drawing. This problem covers geometric concepts and scale conversions, suitable for students in Grades 6-8.

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