A school playground is in the shape of a rectangle 600600 feet long and 300300 feet wide.  If fencing costs $ 12$12 per​ yard, what will it cost to place fencing around the​ playground?

To calculate the cost of placing fencing around the playground, we need to find the perimeter of the rectangular playground first.

1. **Perimeter of the Rectangle**:
   The formula for the perimeter $ P $ of a rectangle is:

   \[
   P = 2 \times (\text{length} + \text{width})
   \]

   Given:
   - Length = 600 feet
   - Width = 300 feet

   Substituting these values into the formula:

   \[
   P = 2 \times (600 + 300) = 2 \times 900 = 1800 \text{ feet}
   \]

2. **Convert Feet to Yards**:
   Since fencing costs are provided per yard, and there are 3 feet in a yard, we need to convert the perimeter from feet to yards:

   \[
   \text{Perimeter in yards} = \frac{1800 \text{ feet}}{3} = 600 \text{ yards}
   \]

3. **Cost of Fencing**:
   Fencing costs $12 per yard, so the total cost is:

   \[
   \text{Total cost} = 600 \text{ yards} \times 12 \text{ dollars per yard} = 7200 \text{ dollars}
   \]

Thus, the cost to place fencing around the playground is **$7,200**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How would the cost change if the width was increased by 50 feet?
2. What is the area of the playground in square feet?
3. How much would the cost be if the price per yard of fencing increased to $15?
4. If only half of the playground needed fencing, what would the new cost be?
5. How many yards of fencing would be required if the playground was circular with the same area?

**Tip**: Always convert measurements to consistent units when calculating costs or distances!

A school playground is in the shape of a rectangle 600 feet long and 300 feet wide. If fencing costs $12 per yard, what will it cost to place fencing around the playground?

Learn how to calculate the cost of placing fencing around a rectangular playground that is 600 feet long and 300 feet wide. This solution includes the perimeter calculation, unit conversion from feet to yards, and the total cost of fencing. Suitable for students in Grades 6-8.

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