A rectangular piece of cloth has area `432 cm^(2)`. If its length is 16 cm long. Find its breadth.

Answer

To find the breadth of the rectangular piece of cloth, we can follow these steps:

### Step 1: Write down the formula for the area of a rectangle.
The area \( A \) of a rectangle is given by the formula:
\[ A = \text{Length} \times \text{Breadth} \]

### Step 2: Substitute the known values into the formula.
We know that the area \( A \) is \( 432 \, \text{cm}^2 \) and the length \( L \) is \( 16 \, \text{cm} \). Therefore, we can substitute these values into the formula:
\[ 432 = 16 \times \text{Breadth} \]

### Step 3: Rearrange the equation to solve for breadth.
To find the breadth, we need to isolate it. We can do this by dividing both sides of the equation by the length (16 cm):
\[ \text{Breadth} = \frac{432}{16} \]

### Step 4: Perform the division.
Now we will calculate \( \frac{432}{16} \):
\[ \text{Breadth} = 27 \, \text{cm} \]

### Step 5: State the final answer.
Thus, the breadth of the rectangular piece of cloth is:
\[ \text{Breadth} = 27 \, \text{cm} \]

---