Given that the perimeter of a rectangular playground area is 308 feet.

Let w be the width and l be the length of playground

also, given that the length of the playground is 34 feet more than twice the width.

Therefore

l = 34 + 2w

we know that, the perimeter of a rectangular playground = 2(l + w)

therefore by puting the values of l and w in above equation we will get the perimeter of the rectangular playground.