The of area parallelogram is 406 sq. cm. Its height is 14 cm. Find the length of one of its sides.

Answer

To find the length of one of the sides of the parallelogram given its area and height, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values:**
- Area of the parallelogram (A) = 406 sq. cm
- Height (h) = 14 cm

2. **Use the formula for the area of a parallelogram:**
The formula for the area of a parallelogram is:
\[ A = \text{base} \times \text{height} \]
Here, we need to find the base (b), which represents the length of one of its sides.

3. **Rearrange the formula to solve for the base:**
We can rearrange the formula to find the base:
\[ \text{base} = \frac{A}{h} \]

4. **Substitute the known values into the formula:**
Now, substitute the values of the area and height into the rearranged formula:
\[ \text{base} = \frac{406 \text{ sq. cm}}{14 \text{ cm}} \]

5. **Perform the division:**
Now, calculate the value:
\[ \text{base} = \frac{406}{14} = 29 \text{ cm} \]

6. **Conclusion:**
Therefore, the length of one of the sides of the parallelogram is 29 cm.