Calculate Side Length AB in a Parallelogram with Area 156 cm² and Height 12

Question

Look at the parallelogram of the figure.

Its area is equal to 156 cm².

Calculate AB.

00:00 Find AB

00:03 We'll use the formula for calculating the area of a parallelogram

00:06 Side(DC) multiplied by height (BE)

00:19 We'll substitute appropriate values and solve for DC

00:35 And this is the length of side DC

00:40 Opposite sides are equal in a parallelogram

00:48 And this is the solution to the question

To solve this problem, we'll follow these steps:

Now, let's work through each step:

Step 1: We know that the area of the parallelogram is $156 \, \text{cm}^2$ , and the height is $12 \, \text{cm}$ .

Step 2: The formula for the area of a parallelogram is:
$\text{Area} = \text{base} \times \text{height}$

Step 3: Substituting the given values into the formula, we have:
$156 = AB \times 12$

To find $AB$ , rearrange the equation to solve for $AB$ :
$AB = \frac{156}{12}$

Calculating this, we find:
$AB = 13$

Therefore, the length of $AB$ is $13 \, \text{cm}$ , which corresponds to choice 2.

$13$ cm