The area of a parallelogram is 60 `cm^2` and one of its altitude is 5 cm. The length of its corresponding side is

Options

A. 12 cm
B. 6 cm
C. 4 cm
D. 2 cm

Answer

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

\[ \text{Area} = \text{Base} \times \text{Height} \]

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Area of the parallelogram (A) = 60 cm²
- Height (h) = 5 cm

2. **Use the Area Formula:**
- According to the formula, we can express the area as:
\[ A = \text{Base} \times \text{Height} \]
- Substituting the known values into the formula:
\[ 60 = \text{Base} \times 5 \]

3. **Solve for the Base:**
- To find the base, we need to isolate it on one side of the equation. We can do this by dividing both sides by 5:
\[ \text{Base} = \frac{60}{5} \]

4. **Calculate the Base:**
- Performing the division:
\[ \text{Base} = 12 \text{ cm} \]

5. **Conclusion:**
- The length of the corresponding side of the parallelogram is 12 cm.

### Final Answer:
The length of the corresponding side is **12 cm**.