https://file.aiquickdraw.com/mathbot/file/1726791113267fgqtp54f.jpg

The problem in the image asks for the cost of enclosing two adjacent rectangular pastures, with given dimensions and a specified cost per yard for fencing.

### Key Information from the Image:
- The cost of fencing is **$25.80 per yard**.
- The dimensions of the two adjacent rectangular pastures are:
  - Width: **30 yards** each
  - Length: **50 yards**

### Steps to Solve:
1. **Perimeter Calculation**:
   - Since the two pastures are adjacent, one side will not require fencing twice (the shared boundary).
   - The total perimeter (P) is calculated as:
     - 2 lengths (50 yards) and 3 widths (30 yards, because one side is shared).
   \[
   P = 2(50) + 3(30) = 100 + 90 = 190 \, \text{yards}
   \]

2. **Cost Calculation**:
   - Multiply the total perimeter by the cost per yard:
   \[
   \text{Total cost} = 190 \, \text{yards} \times 25.80 \, \text{dollars/yard}
   \]
   I'll calculate the exact cost for you.

Let me do the calculation.The total cost to enclose the two adjacent rectangular pastures is **$4,902.00**.

Would you like more details or have any questions? 

Here are 5 related questions to deepen your understanding:
1. How would the cost change if the dimensions of one pasture were different?
2. What if the cost per yard increased by 10%? What would be the new total cost?
3. How would the total cost differ if there were three adjacent pastures instead of two?
4. If the shared side wasn't fenced, how would that affect the perimeter and cost?
5. What would the total cost be if the pastures were in the shape of a square instead?

**Tip**: In geometry problems involving adjacent shapes, always identify shared boundaries to avoid overcounting for fences or walls!

Fencing costs $25.80 per yard. How much does it cost to enclose two adjacent rectangular pastures as shown?

Learn how to calculate the total cost to enclose two adjacent rectangular pastures with fencing, given a price per yard. This problem involves geometry concepts and perimeter calculation, ideal for students in Grades 6-8.

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