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?
First, we need to convert the dimensions of the playground from feet to yards, since the cost of fencing is given per yard.
600 feet = 200 yards
300 feet = 100 yards
To find the perimeter of the playground (the total length of fencing needed), we add up the four sides:
P = 2L + 2W
P = 2(200) + 2(100)
P = 600 yards
Now we can find the total cost of the fencing:
Cost = length of fencing x cost per yard
Cost = 600 yards x $12/yard
Cost = $7,200
Therefore, it will cost $7,200 to place fencing around the playground.
To find the cost of the fencing, we first need to calculate the perimeter of the playground.
Perimeter of a rectangle = 2 * (length + width)
Given that the length is 600 feet and the width is 300 feet, we can substitute these values into the formula:
Perimeter = 2 * (600 + 300)
Perimeter = 2 * 900
Perimeter = 1800 feet
Since the cost of the fencing is $12 per yard, we need to convert the perimeter from feet to yards before calculating the total cost.
1 yard = 3 feet
Perimeter in yards = Perimeter in feet / 3
Perimeter in yards = 1800 / 3
Perimeter in yards = 600 yards
Total cost = Perimeter in yards * Cost per yard
Total cost = 600 yards * $12
Total cost = $7200
Therefore, it will cost $7200 to place fencing around the school playground.