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?

1 answer

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.