A rectangular property is 5 km2. The length is of the property is 10 km. How much would it cost to fence the property if the cost of fencing is  $3.1 per meter? 

To calculate the cost of fencing the property, we first need to determine the perimeter of the rectangular property and then multiply it by the cost per meter of fencing.

### Step 1: Find the width of the rectangular property
We are given:
- The area of the property is 5 km².
- The length is 10 km.

The area of a rectangle is given by the formula:
\[
\text{Area} = \text{Length} \times \text{Width}
\]

Substitute the given values:
\[
5 = 10 \times \text{Width}
\]

Solving for the width:
\[
\text{Width} = \frac{5}{10} = 0.5 \, \text{km}
\]

So, the width of the property is 0.5 km.

### Step 2: Calculate the perimeter of the property
The perimeter $P$ of a rectangle is given by:
\[
P = 2 \times (\text{Length} + \text{Width})
\]

Substitute the values:
\[
P = 2 \times (10 + 0.5) = 2 \times 10.5 = 21 \, \text{km}
\]

### Step 3: Convert the perimeter to meters
Since 1 km = 1000 meters, the perimeter in meters is:
\[
21 \, \text{km} = 21 \times 1000 = 21,000 \, \text{meters}
\]

### Step 4: Calculate the total cost of fencing
The cost of fencing is $3.1 per meter. Therefore, the total cost is:
\[
\text{Total cost} = 21,000 \times 3.1 = 65,100 \, \text{dollars}
\]

### Final Answer:
The total cost to fence the property is **$65,100**.

---

Would you like a more detailed explanation or help with another question? 

Here are some related questions:
1. How would the cost change if the property was a square instead of a rectangle?
2. What would the area and perimeter be if the width was doubled?
3. How would the cost of fencing change if the price per meter increased to $4.50?
4. What other factors could affect the cost of fencing a property besides price per meter?
5. If the property were to be fenced with different types of materials, how might that affect the cost? 

Tip: It's always helpful to first break down the problem into smaller parts, such as finding the width from the area and using the correct formula for perimeter before calculating costs.

A rectangular property is 5 km². The length of the property is 10 km. How much would it cost to fence the property if the cost of fencing is $3.1 per meter?

Learn how to determine the cost of fencing a rectangular property with an area of 5 km² and a length of 10 km. This step-by-step guide covers perimeter calculations, unit conversions, and cost estimation. Suitable for students in Grades 6-8.

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