1. **Problem statement:** Find the surface area of the cardboard car body with the bottom open, rounded to the nearest hundredth. 2. **Given dimensions:** Top edge = 19 in, left slanted edge = 22 in, right vertical edge = 20.3 in, lower-left edge = 17 in, bottom edge = 35 in. 3. **Formula for surface area:** Surface Area = sum of areas of all faces except the open bottom. 4. **Calculate each face area:** - Top face area = $19 \times 35 = 665$ in$^2$ - Left face area = $22 \times 17 = 374$ in$^2$ - Right face area = $20.3 \times 17 = 345.1$ in$^2$ - Front face area = $19 \times 20.3 = 385.7$ in$^2$ - Back face area = $19 \times 22 = 418$ in$^2$ 5. **Sum all areas:** $$665 + 374 + 345.1 + 385.7 + 418 = 2187.8$$ 6. **Round to nearest hundredth:** $$2187.8 \approx 2187.80$$ 7. **Final answer:** Luke will need approximately **2187.80** in$^2$ of cardboard.