How many yards of fence will be neededfor a 200 square yard playground area?

Answer 1

The answer depend upon how to interpret "200 square yard".

If it means a square with 200 yards along each side then the answer is 200 x 4 = 800 yards of fence.

If it means an area of 200 sq yd, then the amount of Fencing needed will depend upon the exact shape of the playground. The minimum length required would be a circle which is:

length = 2 √(area × π) ≈ 50.13 yards.

Any other shape would require more than this.

Eg for a rectangular playground, the minimum length is when the playground is a square of side √200 giving a length of 4 × √200 ≈ 56.57 yards.

Other rectangles with an area of 200 sq yds give different lengths, eg:

10 yd x 20 yd requires 60 yards

8 yd x 25 yd requires 66 yards

5 yd x 40 yd requires 90 yards

4 yd x 50 yd requires 108 yards

2 yd x 100 yd requires 204 yards

1 yd x 200 yd requires 402 yards