1. **State the problem:** We need to find the area of an L-shaped polygon with given side lengths. 2. **Split the figure into two rectangles:** - Rectangle A: vertical segment 2 yd wide and 9 yd tall. - Rectangle B: horizontal segment 8 yd wide and vertical segment 2 yd tall. 3. **Calculate the area of Rectangle A:** $$\text{Area}_A = 2 \times 9 = 18$$ square yards. 4. **Calculate the area of Rectangle B:** $$\text{Area}_B = 8 \times 2 = 16$$ square yards. 5. **Add the areas:** $$\text{Total Area} = 18 + 16$$ square yards. 6. **Final answer:** The area of the L-shaped figure is $$18 + 16$$ square yards.