Calculate Parallelogram Side Length: Area 100 cm² with Height 6

To find the length of side AD of the parallelogram, we start with the fundamental formula for finding the area of a parallelogram:

$\text{Area} = \text{base} \times \text{height}$

We know the following from the problem statement:

• The area of the parallelogram is $100 \, \text{cm}^2$.
• The base (BC) is $6 \, \text{cm}$. The height for which we are solving corresponds to the opposite side AD.

To find the height, we can rearrange the formula to solve for the height:

$\text{height} = \frac{\text{Area}}{\text{base}}$

Substituting in the known values:

$\text{height} = \frac{100}{6}$

$\text{height} = \frac{100}{6} = 16.67 \, \text{cm}$

Therefore, the length of side AD is $16.67 \, \text{cm}$.