Parallelogram Area 4x with Height 2: Finding Side Length AD

To solve this problem, let's analyze and calculate step by step:

The formula for the area of a parallelogram is given by:

$\text{Area} = \text{Base} \times \text{Height}$

We're given:

• The area is $4x$.
• The height $AE = 2$.

We need to find the base $AD$. Let's plug these values into the formula:

$4x = AD \times 2$

Now, solve for $AD$ by dividing both sides by 2:

$AD = \frac{4x}{2} = 2x$

Therefore, the length of $AD$ is $2x$.