https://file.aiquickdraw.com/mathbot/file/17268677110119kr05rf0.jpg

The problem shown in the image asks:

**"Helen made a scale drawing of a petting zoo. In real life, the goat pen is 10 meters long. It is 2 millimeters long in the drawing. What is the drawing's scale factor?"**

We need to calculate the scale factor by comparing the actual length to the length in the drawing. Let's break it down:

### Steps:
1. The real-life length is given as **10 meters**.
2. The drawing length is given as **2 millimeters**.
3. We need both measurements in the same unit, so convert meters to millimeters.
   - 1 meter = 1000 millimeters.
   - So, 10 meters = **10,000 millimeters**.

4. Now, find the scale factor as a ratio of the drawing length to the real-life length:
   \[
   \text{Scale factor} = \frac{\text{Drawing length}}{\text{Real length}} = \frac{2 \, \text{mm}}{10,000 \, \text{mm}}
   \]

5. Simplifying the fraction:
   \[
   \frac{2}{10,000} = \frac{1}{5000}
   \]

Thus, the scale factor of the drawing is **1:5000**.

Would you like any more details or further clarification?

### Related Questions:
1. If the scale factor was 1:2500, how long would the goat pen be in the drawing?
2. If the actual length was 20 meters, what would be the new scale factor with the same drawing length?
3. What is the scale factor if the drawing length was doubled to 4 millimeters?
4. If the real-life length were 15 meters and the scale factor was 1:7500, how long would it be in the drawing?
5. How would you write the scale factor if the real length was given in centimeters instead?

### Tip:
Always convert both the drawing and real-life lengths into the same units before calculating the scale factor to avoid mistakes.

Helen made a scale drawing of a petting zoo. In real life, the goat pen is 10 meters long. It is 2 millimeters long in the drawing. What is the drawing's scale factor?

Learn how to find the scale factor of a drawing where the real goat pen is 10 meters long, and the drawing shows it as 2 millimeters. This problem involves unit conversion and calculating ratios. Suitable for Grade 7 students.

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