Calculate Parallelogram Area: 6cm Base and 2cm Height Problem

To solve this problem, we'll calculate the area of the parallelogram using the following steps:

• Step 1: Identify the base and the height from the given information.
• Step 2: Use the formula for the area of a parallelogram: $\text{Area} = \text{base} \times \text{height}$.
• Step 3: Substitute the values and compute the area.

Now, let's perform these steps:

Step 1: The base $AB$ is given as 6 cm, and the height perpendicular to this base is 2 cm.

Step 2: Using the formula for the area of a parallelogram, we have:

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

Step 3: Substituting the given values:

$\text{Area} = 6 \, \text{cm} \times 2 \, \text{cm} = 12 \, \text{cm}^2$

Thus, the area of the parallelogram is 12 square centimeters.

The correct answer is choice 1: 12.