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?

1 answer

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.