Paul's math group is building a dollhouse.  They are using the scale 3 in : 4 feet.   Using your ruler, draw a model of two rooms that would fit the groups criteria. The two rooms must have different ratios. Label the rooms measurements.


To solve this problem, we need to first understand how to apply the given scale of **3 inches : 4 feet**. This means every 4 feet in real life corresponds to 3 inches on the model. So, to create rooms with different measurements, we can follow these steps:

### Step-by-Step Process:

1. **Choose Room Dimensions (Real-Life Size):**
   - Let’s assume Room 1 is **8 feet by 10 feet**.
   - Let’s assume Room 2 is **12 feet by 16 feet**.

2. **Apply the Scale (Convert Real-Life to Model):**
   - For **Room 1**: 
     - 8 feet corresponds to \(\frac{3}{4} \times 8 = 6 \) inches in the model.
     - 10 feet corresponds to \(\frac{3}{4} \times 10 = 7.5\) inches in the model.
     So, **Room 1 in the model** would be **6 inches by 7.5 inches**.
   
   - For **Room 2**:
     - 12 feet corresponds to \(\frac{3}{4} \times 12 = 9\) inches in the model.
     - 16 feet corresponds to \(\frac{3}{4} \times 16 = 12\) inches in the model.
     So, **Room 2 in the model** would be **9 inches by 12 inches**.

### Ruler Drawing Instructions:
- **Room 1**: Draw a rectangle measuring **6 inches by 7.5 inches**.
- **Room 2**: Draw a rectangle measuring **9 inches by 12 inches**.

### Label the Measurements:
- Label **Room 1** as **6 in by 7.5 in** (which corresponds to 8 feet by 10 feet).
- Label **Room 2** as **9 in by 12 in** (which corresponds to 12 feet by 16 feet).

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Would you like a more detailed breakdown, or do you have any questions about the solution process?

### Related Questions:
1. How do you convert a real-world measurement into a model using a different scale?
2. What would happen if we used a different scale, such as 1 inch : 1 foot?
3. How can we calculate the area of each room in the model and real life?
4. How would you draw a house plan with three rooms using the same scale?
5. Can we create non-rectangular rooms with this method, like L-shaped rooms?

**Tip**: Always double-check your scale calculations before drawing or building a model to avoid mismatched proportions!

Paul's math group is building a dollhouse. They are using the scale 3 in : 4 feet. Using your ruler, draw a model of two rooms that would fit the group's criteria. The two rooms must have different ratios. Label the rooms' measurements.

Learn how to draw two rooms using a scale of 3 inches : 4 feet for a dollhouse model. This tutorial explains how to convert real-world room dimensions to model size using proportions. Suitable for students in Grades 5-7, with a step-by-step breakdown of measurements and labeled diagrams.

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