One side of a parallelogram is 8 cm. If the corresponding altitude is 6 cm, then its area is given by a) `24 cm^2` b) `36 cm ^2` c) `40 cm^2` d) `48 cm^2`

Options

A. `24 cm^2`
B. `36 cm ^2`
C. `40 cm^2`
D. `48 cm^2`

Answer

To find the area of the parallelogram, we can use the formula for the area of a parallelogram, which is given by:

**Area = Base × Height**

### Step-by-Step Solution:

1. **Identify the base and height**:
- The length of one side (base) of the parallelogram is given as 8 cm.
- The corresponding altitude (height) is given as 6 cm.

2. **Substitute the values into the area formula**:
\[ \text{Area} = \text{Base} \times \text{Height} = 8 \, \text{cm} \times 6 \, \text{cm} \]

3. **Calculate the area**:
\[ \text{Area} = 48 \, \text{cm}^2 \]

4. **Conclusion**:
- The area of the parallelogram is 48 cm².
- Therefore, the correct option is **d) 48 cm²**.