Answer
The width of the court is $36$ feet, and the length is $78$ feet.
Work Step by Step
Let the width of the pool be $ w.$
We are told that the length is $2w+6.$
The perimeter equals 2$\times $(width + length)
=$2(w+2w+6)=2(3w+6)=6w+12$
Given $\quad 6w+12=228\qquad $ ... subtract 12
$ 6w=216\qquad $ ... divide with 6
$ w=36$
The width of the court is $36$ feet, and the length is $2(36)+6=78$ feet.
