The lengths of the diagonals of a rhombus are 12 cm and 16 cm. Find the area of rhombus

Answer

To find the area of a rhombus given the lengths of its diagonals, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the lengths of the diagonals**:
- Let \( d_1 = 12 \) cm (length of the first diagonal).
- Let \( d_2 = 16 \) cm (length of the second diagonal).

2. **Use the formula for the area of a rhombus**:
- The formula for the area \( A \) of a rhombus when the lengths of the diagonals are known is:
\[ A = \frac{1}{2} \times d_1 \times d_2 \]

3. **Substitute the values of the diagonals into the formula**:
- Substitute \( d_1 \) and \( d_2 \):
\[ A = \frac{1}{2} \times 12 \times 16 \]

4. **Calculate the area**:
- First, calculate \( 12 \times 16 \):
\[ 12 \times 16 = 192 \]
- Now, calculate \( \frac{1}{2} \times 192 \):
\[ A = \frac{192}{2} = 96 \text{ square cm} \]

5. **Final result**:
- The area of the rhombus is \( 96 \) square cm.