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We are given two fences, and we need to find two things:

1. The unit rate of inches per foot on the blueprint.
2. The length of fence B on the blueprint.

### Step 1: Determine the unit rate (inches per foot on the blueprint)

- **Fence A** has a real-world length of \( 1 \frac{1}{5} \) feet. 
  \( 1 \frac{1}{5} \) can be converted to an improper fraction as follows:
  \[
  1 \frac{1}{5} = \frac{6}{5} \text{ feet}.
  \]
  
- On the blueprint, **Fence A** is \( 1 \frac{4}{5} \) inches long. 
  \( 1 \frac{4}{5} \) is also converted to an improper fraction:
  \[
  1 \frac{4}{5} = \frac{9}{5} \text{ inches}.
  \]
  
- Now, to find the unit rate, we divide the length of Fence A on the blueprint by its actual length:
  \[
  \text{Unit rate} = \frac{\text{Blueprint length}}{\text{Actual length}} = \frac{\frac{9}{5}}{\frac{6}{5}} = \frac{9}{5} \times \frac{5}{6} = \frac{9}{6} = 1.5 \text{ inches per foot}.
  \]

### Step 2: Find the length of Fence B on the blueprint

- **Fence B** is 4 feet long in reality. Using the unit rate of \( 1.5 \) inches per foot, we can calculate the length of Fence B on the blueprint:
  \[
  \text{Blueprint length of Fence B} = 4 \times 1.5 = 6 \text{ inches}.
  \]

### Final Answers:
- The unit rate is \( 1.5 \) inches per foot.
- The length of Fence B on the blueprint is 6 inches.

Would you like more details or have any further questions? 

Here are 5 related questions to explore:
1. How do you convert mixed fractions into improper fractions?
2. What are the steps to find a unit rate?
3. How would the solution change if the scale was given in centimeters instead of inches?
4. How do you calculate the actual length of a fence given its blueprint length and the scale?
5. How could you calculate the blueprint length for any other real-world object using this scale?

**Tip:** When working with mixed numbers, always convert them into improper fractions before performing division or multiplication.

A certain blueprint shows two fences. Fence A is 1 1/5 feet long but is 1 4/5 inches long on the blueprint. What is the unit rate for inches per foot on this blueprint? If fence B is 4 feet long, how long is fence B on the blueprint?

Calculate the unit rate for inches per foot on a blueprint. Solve how long fence B is on the blueprint using ratios and unit rate. A clear explanation with step-by-step calculations for students in Grades 6-8.

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