Calculate Parallelogram Height: Area 60 cm² with 8 cm Base

Question

Look at the parallelogram ABCD.

The area ABCD is 60 cm².
$AD=8$

Calculate the height of ABCD.

00:00 Find the height of the parallelogram

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

00:10 We'll substitute appropriate values according to the given data and solve for the height

00:14 We'll isolate the height

00:18 And this is the solution to the question

To solve this problem, we need to calculate the height of parallelogram ABCD using the area formula for parallelograms:

Step 1: Recall the formula $\text{Area} = \text{base} \times \text{height}$ .
Step 2: Substitute the known values into the formula: $60 = 8 \times \text{height}$ .
Step 3: Rearrange the formula to solve for height: $\text{height} = \frac{60}{8}$ .
Step 4: Perform the division to find the height: $\text{height} = 7.5$ cm.

Therefore, the height of parallelogram ABCD is $7.5$ cm.

7.5