Calculate Side Length AB in a Parallelogram with Area 156 cm² and Height 12

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information.
• Step 2: Apply the formula for the area of a parallelogram.
• Step 3: Calculate the required side $AB$.

Now, let's work through each step:

Step 1: We know that the area of the parallelogram is $156 \, \text{cm}^2$, and the height is $12 \, \text{cm}$.

Step 2: The formula for the area of a parallelogram is:
$\text{Area} = \text{base} \times \text{height}$

Step 3: Substituting the given values into the formula, we have:
$156 = AB \times 12$

To find $AB$, rearrange the equation to solve for $AB$:
$AB = \frac{156}{12}$

Calculating this, we find:
$AB = 13$

Therefore, the length of $AB$ is $13 \, \text{cm}$, which corresponds to choice 2.