Find the length of the rectangle whose area is `"120 cm"^(2)` and breadth is 6 cm

Answer

To find the length of a rectangle given its 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 can be calculated using the formula:
\[ A = \text{Length} \times \text{Breadth} \]

### Step 2: Identify the given values
From the problem, we know:
- Area \( A = 120 \, \text{cm}^2 \)
- Breadth \( B = 6 \, \text{cm} \)

### Step 3: Set up the equation
We can substitute the known values into the area formula:
\[ 120 = \text{Length} \times 6 \]

### Step 4: 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 (6 cm):
\[ \text{Length} = \frac{120}{6} \]

### Step 5: Calculate the Length
Now, perform the division:
\[ \text{Length} = 20 \, \text{cm} \]

### Step 6: State the final answer
Thus, the length of the rectangle is:
\[ \text{Length} = 20 \, \text{cm} \]

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