If one of the diagonal of a rhombus is 10 cm and another is 6cm then find the area of rhombus

Options

A. `20 cm ^(2)`
B. `10 cm ^(2)`
C. `30 cm ^(2)`
D. `40 cm ^(2)`

Answer

To find the area of a rhombus when the lengths of its diagonals are given, we can use the formula:

**Area of Rhombus = (1/2) × d1 × d2**

Where:
- d1 = length of the first diagonal
- d2 = length of the second diagonal

### Step-by-step Solution:

1. **Identify the lengths of the diagonals**:
- Given: d1 = 10 cm (first diagonal)
- Given: d2 = 6 cm (second diagonal)

2. **Substitute the values into the area formula**:
- Area = (1/2) × d1 × d2
- Area = (1/2) × 10 cm × 6 cm

3. **Calculate the product of the diagonals**:
- First, calculate 10 cm × 6 cm = 60 cm²

4. **Multiply by 1/2**:
- Area = (1/2) × 60 cm² = 30 cm²

5. **Conclusion**:
- The area of the rhombus is 30 cm².

### Final Answer:
The area of the rhombus is **30 cm²**.