Paint Cost Room
1. **State the problem:** We need to find the cost of painting the walls of a room with dimensions 4.38 m length, 3.74 m width, and 2.36 m height. The room has two doorways and three windows, and the painting cost is 74 per square meter.
2. **Calculate total wall surface area:** The room has 4 walls. Two walls have area length × height, and two have width × height.
$$\text{Total wall area} = 2 \times (4.38 \times 2.36) + 2 \times (3.74 \times 2.36)$$
$$= 2 \times 10.3368 + 2 \times 8.8264 = 20.6736 + 17.6528 = 38.3264 \text{ m}^2$$
3. **Calculate total area of doors:** Each door is 76 cm by 198 cm. Convert to meters: 0.76 m by 1.98 m.
$$\text{Area per door} = 0.76 \times 1.98 = 1.5048 \text{ m}^2$$
Two doors:
$$2 \times 1.5048 = 3.0096 \text{ m}^2$$
4. **Calculate total area of windows:** Each window is 88 cm by 106 cm. Convert to meters: 0.88 m by 1.06 m.
$$\text{Area per window} = 0.88 \times 1.06 = 0.9328 \text{ m}^2$$
Three windows:
$$3 \times 0.9328 = 2.7984 \text{ m}^2$$
5. **Calculate paintable wall area:** Subtract area of doors and windows from total wall area.
$$\text{Paintable area} = 38.3264 - (3.0096 + 2.7984) = 38.3264 - 5.808 = 32.5184 \text{ m}^2$$
6. **Calculate cost of painting:** Cost per square meter is 74.
$$\text{Total cost} = 32.5184 \times 74 = 2406.3616$$
7. **Round to nearest Naira:**
$$\text{Total cost} \approx 2406$$
**Final answer:** The cost of painting the walls of the room is 2406 to the nearest Naira.