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If I, b and h be the length, breadth and...

 If I, b and h be the length, breadth and height respectively of a room, then area of its 4 walls = (.....) sq units.

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To find the area of the four walls of a room with length (L), breadth (B), and height (H), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Structure**: The room has four walls. Two walls will have dimensions of length and height, and the other two walls will have dimensions of breadth and height. 2. **Calculate the Area of the Walls**: - The area of the two walls with length (L) and height (H) is: \[ \text{Area of two length walls} = 2 \times (L \times H) = 2LH \] - The area of the two walls with breadth (B) and height (H) is: \[ \text{Area of two breadth walls} = 2 \times (B \times H) = 2BH \] 3. **Combine the Areas**: - Now, we can add the areas of all four walls together: \[ \text{Total Area of 4 Walls} = 2LH + 2BH \] 4. **Factor Out Common Terms**: - We can factor out the common term, which is 2H: \[ \text{Total Area of 4 Walls} = 2H(L + B) \] 5. **Final Expression**: - Therefore, the area of the four walls of the room is given by: \[ \text{Area of 4 walls} = 2H(L + B) \text{ sq units} \] ### Final Answer: The area of the four walls = \( 2H(L + B) \) sq units. ---
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