To find the scale factor, we start with the given scale of 10 centimeters representing 5 meters.
First, we convert the measurements to the same unit. We can convert 5 meters to centimeters:
\[ 5 \text{ meters} = 5 \times 100 \text{ cm} = 500 \text{ cm} \]
Now we have:
- 10 cm (in the drawing) corresponds to 500 cm (in real life).
Next, we can express this as a ratio:
\[ \text{Scale} = \frac{\text{Drawing size}}{\text{Real size}} = \frac{10 \text{ cm}}{500 \text{ cm}} \]
We simplify the fraction:
\[ \frac{10}{500} = \frac{1}{50} \]
This means for every 1 cm in the drawing, it represents 50 cm in reality.
To express the scale factor as a ratio, we write it as:
\[ 1:50 \]
Thus, the scale factor used in Layla's drawing is \( \boxed{1:50} \).
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