To find the scale factor, we compare the drawing's dimensions to the actual dimensions using the ratio:

$\text{Scale Factor} = \frac{\text{Drawing Dimension}}{\text{Actual Dimension}}$

Given:

• Actual width of the dining room = 5 meters
• Drawing width = 10 centimeters

Since the units must be the same, convert 5 meters to centimeters:
$5 \text{ meters} = 5 \times 100 = 500 \text{ cm}$

Now, calculate the scale factor:

$\frac{10 \text{ cm}}{500 \text{ cm}}$

Simplify:

$\frac{1}{50}$

Final Answer:

The scale factor of the drawing is $\frac{1}{50}$.

Would you like me to explain it in a different way or give more examples?

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Related Questions:

1. If the living room is 8 meters wide, how wide will it be in the drawing?
2. If another room in the drawing is 15 cm wide, how wide is it in real life?
3. What would the scale factor be if the drawing width were 20 cm instead?
4. How do you convert different units in scale drawings?
5. What does a scale factor greater than 1 represent?

Tip: Always check that units match before calculating scale factors! 🚀