A school playground is in the shape of a rectangle 500
feet long and 100
feet wide. If fencing costs $ 11
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 in yards.
500 feet = 166.67 yards
100 feet = 33.33 yards
To find the total amount of fencing needed, we need to add up all four sides of the rectangle:
166.67 + 166.67 + 33.33 + 33.33 = 400 yards
Now we can find the total cost of the fencing:
400 yards x $11/yard = $4,400
Therefore, it will cost $4,400 to place fencing around the playground.
To find the cost of placing fencing around the playground, we first need to calculate the perimeter of the rectangle.
Perimeter of a rectangle = 2(length + width)
Given:
Length of the rectangle = 500 feet
Width of the rectangle = 100 feet
Substituting these values into the perimeter formula:
Perimeter = 2(500 + 100)
Perimeter = 2(600)
Perimeter = 1200 feet
Now, we need to convert the perimeter from feet to yards since the cost of fencing is given in dollars per yard. There are 3 feet in 1 yard.
Perimeter in yards = 1200 feet / 3 feet/yard
Perimeter in yards = 400 yards
Finally, we can calculate the cost of placing fencing around the playground by multiplying the perimeter in yards by the cost per yard.
Cost of placing fencing = Perimeter in yards * Cost per yard
Cost of placing fencing = 400 yards * $11/yard
Cost of placing fencing = $4400
Therefore, it will cost $4400 to place fencing around the playground.