Calculate Parallelogram Area: Finding Height X with Base 20 and Side 11

Question

Calculate the area of the parallelogram ABCD according to the following data:

$DA=11$

$AB=20$

$AE=x$

00:00 Calculate the area of the parallelogram

00:03 Opposite sides are equal in a parallelogram

00:06 We'll use the formula for calculating the area of a parallelogram (base times height)

00:11 We'll substitute the appropriate values according to the given data and solve for the area

00:13 And this is the solution to the problem

To find the area of the parallelogram ABCD, we use the following information and process:

Step 1: Recognize that $AB$ , which equals 20 units, is the base of the parallelogram.
Step 2: The height corresponding to this base is the line segment from $A$ perpendicular to $CD$ , denoted $AE = x$ .
Step 3: Use the formula for the area of a parallelogram: $\text{Area} = \text{base} \times \text{height}$ .

Given:

Now, applying the formula:

$\text{Area} = AB \times AE = 20 \times x = 20x$

Therefore, the area of the parallelogram ABCD is $20x$ .

The correct answer is $\boxed{20x}$ .

20X