To calculate the total area of the four walls of the room, we start by letting the dimensions be represented as follows:
Let the height of the room be x. Then, the length and breadth can be defined as:
- Length = 3x
- Breadth = 2x
The formula to find the total area of the four walls of a rectangular room is given by:
Total Surface Area of Four Walls = 2 × Height × (Length + Breadth)
Substituting the values we have:
Total Surface Area = 2 × x × (3x + 2x)
This simplifies to:
Total Surface Area = 2 × x × 5x = 10x²
Therefore, the total area of the four walls of the room is 10x², where x is the height of the room.