Rectangle Coloring

You are given a rectangular fence with length $L$ and width $W$. The fence has **four sides**, and the total length of the fence is: $2 \times (L + W)$. You have **exactly enough paint** to paint the entire fence using **three colors**: Red, Green, and Blue. Let the total available paint of each color be $R$, $G$, and $B$ respectively, then: $ R + G + B = 2 \times (L + W) $. Each unit of paint