Perimeter of a `Delta` is 32 cm & inradius is 3 cm. Find the area of `Delta`.

Answer

To find the area of the triangle given its perimeter and inradius, we can use the formula:

\[ \text{Area} = r \times s \]

where:
- \( r \) is the inradius,
- \( s \) is the semi-perimeter of the triangle.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Perimeter of the triangle \( P = 32 \, \text{cm} \)
- Inradius \( r = 3 \, \text{cm} \)

2. **Calculate the Semi-Perimeter:**
- The semi-perimeter \( s \) is calculated as:
\[ s = \frac{P}{2} = \frac{32}{2} = 16 \, \text{cm} \]

3. **Use the Area Formula:**
- Now, substitute the values of \( r \) and \( s \) into the area formula:
\[ \text{Area} = r \times s = 3 \times 16 \]

4. **Calculate the Area:**
- Perform the multiplication:
\[ \text{Area} = 48 \, \text{cm}^2 \]

### Final Answer:
The area of the triangle is \( 48 \, \text{cm}^2 \).