If `d_(1)` and `d_(2)` be the diagonals of a rhombus, then its area is (.....) sq units.

Answer

To find the area of a rhombus when the lengths of its diagonals \(d_1\) and \(d_2\) are given, we can use the formula for the area of a rhombus:

### Step-by-Step Solution:

1. **Understand the Formula**:
The area \(A\) of a rhombus can be calculated using the formula:
\[ A = \frac{1}{2} \times d_1 \times d_2 \]
where \(d_1\) and \(d_2\) are the lengths of the diagonals.

2. **Identify the Diagonal Lengths**:
Let's denote the lengths of the diagonals as:
- Diagonal 1: \(d_1\)
- Diagonal 2: \(d_2\)

3. **Substitute the Values**:
If the values of \(d_1\) and \(d_2\) are provided, substitute them into the formula. For example, if \(d_1 = 10\) units and \(d_2 = 8\) units, substitute these values:
\[ A = \frac{1}{2} \times 10 \times 8 \]

4. **Calculate the Area**:
Perform the multiplication:
\[ A = \frac{1}{2} \times 80 = 40 \text{ square units} \]

5. **Final Result**:
Thus, the area of the rhombus is:
\[ A = 40 \text{ square units} \]