Find the Parallelogram Area Using Base 3X and Height 4Y

To determine the area of the parallelogram, we follow these steps:

• Step 1: Identify the given dimensions of the parallelogram.
• Step 2: Apply the formula for the area of a parallelogram.
• Step 3: Calculate using the given expressions for base and height.

Let's perform each step:

Step 1: From the problem, the base of the parallelogram is given as $3X$ and the height as $4Y$.

Step 2: Use the formula for the area $A$ of a parallelogram: $A = \text{base} \times \text{height}$.

Step 3: Plug these expressions into the formula:
$A = 3X \times 4Y$

Perform the multiplication:

$A = 3 \cdot 4 \cdot X \cdot Y = 12XY$

Thus, the area of the parallelogram is $12XY$.

When comparing this result to the given answer choices, the correct choice is:

• Choice 1: $12xy$