The area of a parallelogram is 90 sq. cm. If the base is 12 cm, find its height.

Answer

To find the height of the parallelogram given the area and the 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 can be calculated using the formula:
\[ A = \text{base} \times \text{height} \]

2. **Identify the given values**:
From the problem, we know:
- Area (A) = 90 sq. cm
- Base (b) = 12 cm

3. **Set up the equation**:
We can substitute the known values into the area formula:
\[ 90 = 12 \times \text{height} \]

4. **Solve for height**:
To find the height, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by the base (12 cm):
\[ \text{height} = \frac{90}{12} \]

5. **Calculate the height**:
Now, perform the division:
\[ \text{height} = 7.5 \text{ cm} \]

6. **Conclusion**:
Therefore, the height of the parallelogram is:
\[ \text{height} = 7.5 \text{ cm} \]