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

Question

Look at the parallelogram ABCD.

The area of ABCD is $4x$ .

$AE$ is the height of the parallelogram.

$AE=2$

Calculate AD.

00:00 Find AD

00:03 We'll use the formula for calculating the area of a parallelogram (base times height)

00:12 We'll substitute appropriate values according to the given data, and express BC

00:39 Opposite sides are equal in a parallelogram

00:49 And this is the solution to the question

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:

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 $2x$ .