To calculate the cost of enclosing the two adjacent rectangular pastures with fencing, let's break down the problem:

Given:

• Fencing cost: $25.80 per yard
• Dimensions of the pastures:
  • Length = $50 \frac{5}{8}$ yards
  • Width = $30 \frac{3}{8}$ yards

Since the pastures are adjacent, they share one side. So, we need to calculate the total perimeter to find the amount of fencing required.

Step 1: Simplify the dimensions

• Length: $50 \frac{5}{8} = \frac{403}{8} = 50.625$ yards
• Width: $30 \frac{3}{8} = \frac{243}{8} = 30.375$ yards

Step 2: Calculate the total perimeter

Since the two pastures are adjacent, the perimeter includes:

• Two lengths
• Three widths (because the two pastures share a width)

Thus, the total perimeter $P$ is: $P = 2 \times 50.625 + 3 \times 30.375$ $P = 101.25 + 91.125 = 192.375 \text{ yards}$

Step 3: Calculate the cost

The total cost is the perimeter multiplied by the cost per yard of fencing: $\text{Total cost} = 192.375 \times 25.80$ $\text{Total cost} \approx 4963.28$

Final Answer:

The cost to enclose the two adjacent rectangular pastures is approximately $4,963.28.

Would you like further details or have any questions?

Here are 5 related questions:

1. How would the cost change if the fencing price increased by 10%?
2. What would be the cost if the dimensions of the pastures were doubled?
3. Can you calculate the cost of fencing if the pastures were not adjacent?
4. How would the result change if the fence cost were per meter instead of per yard?
5. What if only one pasture needed fencing—what would its cost be?

Tip: When converting fractions to decimals, always ensure accuracy by using as many decimal places as necessary for precision.