https://file.aiquickdraw.com/mathbot/file/1725930127657jsy9vcos.jpg

The problem shown in the image is about a scale drawing. Here's a summary of the situation:

- A neighborhood park is 115 inches long in the drawing.
- The actual park is 138 yards long.
- The question asks: What is the scale of the drawing?

Then, you are given a prompt to find how 5 inches in the drawing would correspond to the actual yard length.

### To solve the problem:

1. **Find the scale of the drawing**:
   - The ratio of the drawing length (115 inches) to the actual length (138 yards) represents the scale.
   - Convert yards to inches (since the drawing is in inches). There are 36 inches in a yard, so:
     \[
     138 \, \text{yards} \times 36 = 4968 \, \text{inches}
     \]
   - The scale factor is then:
     \[
     \text{Scale} = \frac{115 \, \text{inches}}{4968 \, \text{inches}} = \frac{115}{4968} \approx 0.02314
     \]

2. **Find the actual distance corresponding to 5 inches**:
   - Use the scale factor to convert 5 inches into the actual yard length.
   - First, find the real length in inches:
     \[
     \text{Real length} = 5 \, \text{inches} \times \frac{4968}{115} = 5 \times 43.2 = 216 \, \text{inches}
     \]
   - Now convert 216 inches back to yards:
     \[
     \frac{216 \, \text{inches}}{36} = 6 \, \text{yards}
     \]

### Answer:
5 inches in the drawing corresponds to **6 yards** in reality.

Would you like more details on the steps? Here are 5 related questions you could explore:

1. How can you convert between different units such as inches and yards?
2. What is the significance of a scale factor in drawings?
3. How would the calculation change if the park's actual size was given in feet?
4. What would happen if the drawing size was in feet instead of inches?
5. How can this process be applied to a map scale?

**Tip**: Always double-check unit conversions when dealing with scale drawings to ensure accuracy.

Bonnie measured a city and made a scale drawing. A neighborhood park is 115 inches long in the drawing. The actual park is 138 yards long. What is the scale of the drawing? How many yards is 5 inches?

Learn how to solve a scale drawing problem where 115 inches on the drawing represent 138 yards in real life. Find how 5 inches on the drawing corresponds to actual yard length using ratio and unit conversion.

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