A school playground is in the shape of a rectangle 500
feet long and 100
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 in terms of yards.
500 feet = 166.67 yards
100 feet = 33.33 yards
The perimeter of the playground (the distance around the outside) is twice the length plus twice the width:
2(166.67 yards) + 2(33.33 yards) = 400 yards
To find the cost of fencing, we need to multiply the perimeter by the cost per yard:
400 yards x $12/yard = $4800
Therefore, it will cost $4800 to place fencing around the playground.
To calculate the cost of placing fencing around the school playground, we first need to find the perimeter.
Perimeter of a rectangle = 2(length + width)
Given:
Length = 500 feet
Width = 100 feet
Substituting the values:
Perimeter = 2(500 + 100)
Perimeter = 2(600)
Perimeter = 1200 feet
Since the cost of the fencing is given in terms of yards, we need to convert the perimeter from feet to yards.
1 yard = 3 feet
Perimeter in yards = 1200 feet / 3
Perimeter in yards = 400 yards
Now, we can calculate the cost of fencing:
Cost of fencing = Perimeter in yards * Cost per yard
Given: Cost per yard = $12
Cost of fencing = 400 yards * $12
Cost of fencing = $4800
Therefore, it will cost $4800 to place fencing around the school playground.