The area of a room is `216cm^(2)` and its breadth is 12cm. Find the length of the room.

Options

A. 18m
B. 9m
C. 54m
D. 16m

Answer

To find the length of the room given the area and breadth, we can follow these steps:

### Step 1: Understand the formula for the area of a rectangle.
The area \( A \) of a rectangle is calculated using the formula:
\[ A = \text{length} \times \text{breadth} \]
In this case, we know the area and the breadth.

### Step 2: Substitute the known values into the formula.
We know:
- Area \( A = 216 \, \text{cm}^2 \)
- Breadth \( B = 12 \, \text{cm} \)

Substituting these values into the formula gives us:
\[ 216 = \text{length} \times 12 \]

### Step 3: Rearrange the formula to solve for length.
To find the length, we need to isolate it. We can do this by dividing both sides of the equation by the breadth (12 cm):
\[ \text{length} = \frac{216}{12} \]

### Step 4: Perform the division.
Now, we calculate:
\[ \text{length} = \frac{216}{12} = 18 \, \text{cm} \]

### Conclusion:
The length of the room is \( 18 \, \text{cm} \).

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