a school playground is in the shape of a rectangle 500 feet long and a 100 feet wide if fencing cost 15 dollars per yard what will the cost be to place fencing around the playground ?
P = 2L + 2W
P = 2(500) + 2(100)
P = 1,200 feet
(1200/3) * 15 = ______ cost of fencing
6000
To calculate the cost of placing fencing around the playground, we first need to determine the perimeter of the rectangle.
The formula for finding the perimeter of a rectangle is:
Perimeter = 2 × (Length + Width)
Where:
Length = 500 feet
Width = 100 feet
Substituting the values into the formula:
Perimeter = 2 × (500 + 100)
Perimeter = 2 × 600
Perimeter = 1200 feet
Now, we need to convert the measurement from feet to yards, since the cost of fencing is given in dollars per yard. There are 3 feet in a yard. So:
Perimeter (in yards) = Perimeter (in feet) / 3
Perimeter (in yards) = 1200 / 3
Perimeter (in yards) = 400 yards
Finally, we can calculate the cost of placing fencing around the playground.
Cost = Perimeter (in yards) × Cost per yard
Cost = 400 × 15
Cost = 6000 dollars
Therefore, the cost to place fencing around the playground would be 6000 dollars.
To determine the cost of placing fencing around the school playground, we first need to calculate the perimeter of the rectangle. The perimeter of a rectangle can be found by adding the lengths of all four sides.
Given that the length of the rectangle is 500 feet and the width is 100 feet, we can calculate the perimeter using the formula:
Perimeter = 2 * (Length + Width)
Substituting the given values, we have:
P = 2 * (500 + 100)
P = 2 * 600
P = 1200 feet
Since the cost of fencing is given in dollars per yard, we need to convert the perimeter from feet to yards.
Since there are 3 feet in 1 yard, we can divide the perimeter (in feet) by 3 to get the perimeter in yards:
Perimeter (in yards) = Perimeter (in feet) / 3
Perimeter (in yards) = 1200 / 3
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 = Perimeter (in yards) * Cost per yard
Cost = 400 * $15
Cost = $6000
Therefore, the cost to place fencing around the playground would be $6000.