Given the parallelogram of the figure
What is your area?
We have hundreds of course questions with personalized recommendations + Account 100% premium
Given the parallelogram of the figure
What is your area?
To solve the problem of finding the area of the parallelogram, we follow these steps:
Let's work through each step:
Step 1: From the problem description and figure, we have:
Step 2: Use the formula for the area of a parallelogram:
Substituting the given values into the formula:
Step 3: Calculate:
Therefore, the area of the parallelogram is .
cm².
Calculate the area of the parallelogram according to the data in the diagram.
The slanted side is longer than the actual height! Area needs the perpendicular distance between parallel sides, not the diagonal measurement along the slant.
Look for the perpendicular line (shown as a dashed vertical line with a right angle symbol). The height is always at a 90° angle to the base, not slanted.
It doesn't matter which parallel side you choose as the base! Just make sure you use the corresponding perpendicular height for whichever base you pick.
Yes! Rectangles are special parallelograms where all angles are 90°. The formula works for both.
Area measures 2-dimensional space, so we always use square units like cm², m², or ft². You're measuring how many unit squares fit inside the shape!
Get unlimited access to all 18 Parallelogram questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime