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 use the formula:

\[ \text{Area} = \frac{1}{2} \times d_1 \times d_2 \]

where \(d_1\) and \(d_2\) are the lengths of the diagonals.

### Step-by-Step Solution:

1. **Identify the lengths of the diagonals**:
- Given diagonal \(d_1 = 12 \, \text{cm}\)
- Given diagonal \(d_2 = 16 \, \text{cm}\)

2. **Substitute the values into the area formula**:
\[ \text{Area} = \frac{1}{2} \times 12 \times 16 \]

3. **Calculate the product of the diagonals**:
\[ 12 \times 16 = 192 \]

4. **Multiply by \(\frac{1}{2}\)**:
\[ \text{Area} = \frac{1}{2} \times 192 = 96 \, \text{cm}^2 \]

5. **Final Result**:
- The area of the rhombus is \(96 \, \text{cm}^2\).