Sorry, but the drawing of flat plan is 4cm, amd the actual of flat plan is 8m, do it again

Thank you for the clarification. Let's solve the problem again using the correct information.

### Given Information:
1. The length of the flat in the plan is **4 cm**.
2. The length of the master bedroom in the plan is **1.5 cm**.
3. The actual length of the flat is **8 m**.

### Questions:
1. **Determine the scale drawing in the form of 1 : n for the plan of the flat.**

   To find the scale, use the ratio of the length in the drawing to the actual length.
   \[
   \text{Scale} = \frac{\text{Length in the plan}}{\text{Actual length}} = \frac{4 \text{ cm}}{8 \text{ m}}
   \]
   Convert 8 m to cm (since 1 m = 100 cm):
   \[
   \text{Scale} = \frac{4 \text{ cm}}{800 \text{ cm}} = \frac{1}{200}
   \]
   Therefore, the scale is \(1 : 200\).

2. **The actual length, in meters, of the master bedroom.**

   The length of the master bedroom in the plan is 1.5 cm. Using the scale of 1:200:
   \[
   \text{Actual length of the master bedroom} = 1.5 \text{ cm} \times 200 = 300 \text{ cm} = 3 \text{ m}
   \]

3. **The actual area, in square meters, of the kitchen of the flat.**

   Let's find the area of the kitchen:
   - Measure the dimensions of the kitchen from the plan (you can estimate from the image). For simplicity, let's assume:
     - Kitchen length = 2 cm
     - Kitchen width = 1.5 cm
   
   Convert these dimensions to actual size using the scale:
   \[
   \text{Actual length of the kitchen} = 2 \text{ cm} \times 200 = 400 \text{ cm} = 4 \text{ m}
   \]
   \[
   \text{Actual width of the kitchen} = 1.5 \text{ cm} \times 200 = 300 \text{ cm} = 3 \text{ m}
   \]

   Now, calculate the area:
   \[
   \text{Area of the kitchen} = 4 \text{ m} \times 3 \text{ m} = 12 \text{ m}^2
   \]

### Final Answers:
1. **Scale:** \(1 : 200\)
2. **Actual length of the master bedroom:** 3 m
3. **Actual area of the kitchen:** 12 m²

Would you like any further details or have additional questions? Here are some related questions you might consider:

1. What is the actual area of the living room?
2. How would the scale change if the actual length of the flat were 10 m instead of 8 m?
3. If the width of the flat in the plan is 2.5 cm, what is the actual width in meters?
4. How does the area of the master bedroom compare to the total area of the flat?
5. How would the dimensions of the kitchen change if the scale were \(1 : 250\) instead of \(1 : 200\)?

**Tip:** Always double-check the conversion of units when working with scales to avoid errors in calculations.

Learn how to solve a scale drawing problem converting a flat plan from 4 cm to 8 m. This problem covers scale drawing concepts and unit conversion calculations. Suitable for advanced high school students.

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