Question: Find the perimeter of the figure shown. Express the perimeter using the same unit of measure that appears on the given sides. 8 ft 8 ft 10 ft 9 ft L-shaped polygon with right-angle corners: top horizontal side is 8 ft in the top-left; the upper vertical drop on the right of the top section is 8 ft; the middle horizontal segment to the right is 10 ft; the lower vertical right side is 9 ft; the shape continues down the left side and across the bottom to close the figure.

1. **State the problem:** We need to find the perimeter of an L-shaped polygon with given side lengths in feet. 2. **Identify the known sides:** The polygon has sides of lengths $8$ ft, $8$ ft, $10$ ft, and $9$ ft given explicitly. 3. **Determine the missing sides:** Since the polygon is closed and L-shaped with right angles, the missing vertical side on the left equals the sum of the two vertical sides on the right minus the vertical drop on the top right: $$\text{Left vertical side} = 8 + 9 = 17 \text{ ft}$$ 4. **Calculate the bottom horizontal side:** The bottom horizontal side equals the total horizontal length minus the top horizontal segment: $$\text{Bottom horizontal side} = 10 - 8 = 2 \text{ ft}$$ 5. **List all sides:** - Top horizontal: $8$ ft - Upper vertical right: $8$ ft - Middle horizontal right: $10$ ft - Lower vertical right: $9$ ft - Left vertical side: $17$ ft - Bottom horizontal side: $2$ ft 6. **Calculate the perimeter:** Sum all sides: $$P = 8 + 8 + 10 + 9 + 17 + 2$$ 7. **Simplify:** $$P = 54 \text{ ft}$$ **Final answer:** The perimeter of the figure is $54$ ft.