1. **State the problem:** Find the perimeter of each polygon given the side lengths. 2. **Recall the perimeter formula:** The perimeter $P$ of a polygon is the sum of the lengths of all its sides. 3. **Calculate the perimeter of the quadrilateral:** $$P = 23.6 + 13 + 22.2 + 11.4$$ 4. **Add the values:** $$P = 23.6 + 13 + 22.2 + 11.4 = 70.2$$ 5. **Calculate the perimeter of the triangle:** $$P = 26.7 + 12.7 + 12.3$$ 6. **Add the values:** $$P = 26.7 + 12.7 + 12.3 = 51.7$$ **Final answers:** - Quadrilateral perimeter = $70.2$ - Triangle perimeter = $51.7$