1. **State the problem:** Find the perimeter of the L-shaped rectilinear polygon with given side lengths. 2. **Identify the sides:** The polygon has outer sides 14 (top), 7 (left), 12 (right), and 6 (bottom). It also has inner steps 8 (horizontal) and 5 (vertical). 3. **Understand perimeter:** The perimeter is the total length around the figure, summing all outer edges and inner steps that form the boundary. 4. **Calculate missing sides:** The polygon is L-shaped, so some sides are composed of sums or differences of given lengths. - The vertical side on the left is 7. - The vertical side on the right is 12. - The inner vertical step is 5, so the remaining vertical segment on the right side is $12 - 5 = 7$. - The top horizontal side is 14. - The inner horizontal step is 8, so the remaining horizontal segment on the bottom left is $14 - 8 = 6$. - The bottom horizontal side is 6. 5. **List all perimeter segments:** - Top horizontal: 14 - Right vertical upper: 5 (inner step) - Right vertical lower: 7 - Bottom horizontal: 6 - Left vertical: 7 - Inner horizontal step: 8 6. **Sum all perimeter sides:** $$14 + 5 + 7 + 6 + 7 + 8 = 47$$ 7. **Final answer:** The perimeter of the figure is **47** units.