1. **State the problem:** We need to find an expression for the perimeter of the given cross-shaped figure. 2. **Identify the sides:** The figure has edges labeled with variables: top and bottom horizontal edges are $w$, vertical protrusions on left and right sides and inner vertical segments are $y$, and bottom vertical segments are $x$. 3. **Count the sides for the perimeter:** - There are 2 horizontal edges labeled $w$ (top and bottom). - There are 4 vertical edges labeled $y$ (two on left and two on right). - There are 2 vertical edges labeled $x$ (bottom vertical segments). 4. **Write the perimeter expression:** $$P = 2w + 4y + 2x$$ 5. **Simplify the expression:** Factor out 2: $$P = 2(w + 2y + x)$$ 6. **Final answer:** The perimeter of the figure is $$\boxed{2(w + 2y + x)}$$