1. **Problem statement:** Lily wants to paint her bedroom walls and ceiling. The room measures 4 m by 3.5 m by 2.5 m. There is a door (0.8 m × 2 m) and a window (0.96 m × 0.84 m) which will not be painted. 2. **(a)(i) Area of the ceiling:** The ceiling is a rectangle with length 4 m and width 3.5 m. Formula: Area = length × width $$\text{Area}_{ceiling} = 4 \times 3.5 = 14\,m^2$$ 3. **(a)(ii) Area of the walls to be painted:** The walls form a rectangular prism with 2 pairs of opposite walls. Total wall area without openings: $$2 \times (length \times height) + 2 \times (width \times height) = 2(4 \times 2.5) + 2(3.5 \times 2.5)$$ Calculate: $$= 2(10) + 2(8.75) = 20 + 17.5 = 37.5\,m^2$$ Subtract door and window areas: Door area: $$0.8 \times 2 = 1.6\,m^2$$ Window area: $$0.96 \times 0.84 = 0.8064\,m^2$$ Total area to paint on walls: $$37.5 - (1.6 + 0.8064) = 37.5 - 2.4064 = 35.0936\,m^2$$ Rounded to nearest m²: $$35\,m^2$$ 4. **Summary answers:** - Ceiling area: $14\,m^2$ - Walls area to paint: $35\,m^2$