The area of a parallelogram is `"50 cm"^(2)`. If the base is 10 cm, then find its corresponding height.

Options

A. 10 cm
B. 15 cm
C. 5 cm
D. 50 cm

Answer

To find the corresponding height of the parallelogram given its area and base, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the formula for the area of a parallelogram**:
The area \( A \) of a parallelogram is calculated using the formula:
\[ A = \text{base} \times \text{height} \]

2. **Identify the given values**:
From the problem, we know:
- Area \( A = 50 \, \text{cm}^2 \)
- Base \( b = 10 \, \text{cm} \)

3. **Set up the equation**:
Substitute the known values into the area formula:
\[ 50 = 10 \times h \]
where \( h \) is the height we need to find.

4. **Solve for height \( h \)**:
To isolate \( h \), divide both sides of the equation by 10:
\[ h = \frac{50}{10} \]

5. **Calculate the height**:
Perform the division:
\[ h = 5 \, \text{cm} \]

6. **Conclusion**:
The corresponding height of the parallelogram is \( 5 \, \text{cm} \).