Calculate Side DC in Parallelogram ABCD with Area 72Y cm²

Question

The area of parallelogram ABCD is 72Y cm².

Calculate DC.

00:00 Express DC using Y

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

00:06 side(DC) multiplied by height (AE)

00:20 We'll substitute appropriate values and solve for DC

00:42 And this is the solution to the question

To find the side length $DC$ of parallelogram $ABCD$ with an area of $72y \, \text{cm}^2$ :

Given: Area = $72y \, \text{cm}^2$ and height = $9 \, \text{cm}$ (from the base).
Formula for area: $\text{Area} = \text{base} \times \text{height}$ .
Rearrange to solve for base $DC$ : $\text{base} = \frac{\text{Area}}{\text{height}}$ .
Substitute the given values: $\text{base} = \frac{72y}{9}$ .
Simplify: $\text{base} = 8y$ .

Therefore, the length of $DC$ is $8y \, \text{cm}$ .

$8y$