The area of 4 walls of a room is 520 sq m while its length and breadth are 15 m and 11 m, respectively. Find the height of the room.

Answer

To find the height of the room given the area of the four walls, we can follow these steps:

### Step 1: Understand the formula for the area of the four walls of a room
The area of the four walls of a rectangular room can be calculated using the formula:
\[ \text{Area of 4 walls} = 2H(L + B) \]
where \( H \) is the height of the room, \( L \) is the length, and \( B \) is the breadth.

### Step 2: Substitute the known values into the formula
From the question, we know:
- Area of the four walls = 520 sq m
- Length \( L = 15 \) m
- Breadth \( B = 11 \) m

Substituting these values into the formula gives:
\[ 520 = 2H(15 + 11) \]

### Step 3: Simplify the equation
Now, simplify the expression inside the parentheses:
\[ 15 + 11 = 26 \]
So the equation becomes:
\[ 520 = 2H \times 26 \]

### Step 4: Solve for \( H \)
Now, simplify the equation further:
\[ 520 = 52H \]
To find \( H \), divide both sides by 52:
\[ H = \frac{520}{52} \]

### Step 5: Calculate the height
Now, perform the division:
\[ H = 10 \]
Thus, the height of the room is 10 meters.

### Final Answer
The height of the room is **10 meters**.

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