A playground is to be constructed at the back of a daycare center using 164 feet of fencing. The back of the building will serve as one of the long sides of the playground. The playground is to have a length 6 feet longer than its width. Find the dimensions of the playground

Answer 1

L + 2 w = 164
but L = w + 6
so
w + 6 + 2 w = 164

Answer 2

Width = X feet.
Length = x+6 feet.

x + (x+6) + x = 164.
X = 52 2/3 Ft.

x+6 = 52 2/3 + 6 = 58 2/3 Ft.