Question

look at the image below.
find the area of the parallelogram.
square units

Explanation:

Step1: Recall the formula for the area of a parallelogram

The formula for the area of a parallelogram is \( A = base \times height \), where the base is the length of one of the parallel sides, and the height is the perpendicular distance between the two parallel sides.

Step2: Identify the base and height from the diagram

From the given diagram, the base (the side with the perpendicular height drawn to it) is \( 5 \) units, and the corresponding height is \( 6 \) units. (We use \( 5 \) as the base because the height of \( 6 \) is perpendicular to the side of length \( 5 \); the side of length \( 7 \) is not used here as it is not the base corresponding to this height.)

Step3: Calculate the area

Using the formula \( A = base \times height \), substitute the values of base (\( 5 \)) and height (\( 6 \)):
\( A = 5 \times 6 = 30 \)

Answer:

\( 30 \)