Area of Parallelogram
Base times perpendicular height.
Key idea
Base times perpendicular height.
In depth
A parallelogram can be cut and rearranged into a rectangle with the same base and height, so A = base × height. The height is the perpendicular distance, not the slanted side.
Worked example
Base 10, slanted side 6, perpendicular height 4: area = 10 × 4 = 40.
Formula
Real-world uses
- Calculating the area of a sloping field or a shelf
- Cutting shapes from sheet material
Common mistake
Using the slanted side instead of the perpendicular height.
How to learn this
- Read the key idea and say it in your own words.
- Work through the worked example, then try a similar problem.
- Use the interactive lesson’s visual and mini-quiz to check the pattern.
Frequently asked questions
What is Area of Parallelogram?
Base times perpendicular height. It is a topic at the intermediate level in Geometry.
What is the formula for Area of Parallelogram?
The key formula is A = b h.
Where is Area of Parallelogram used in real life?
Real-world examples: Calculating the area of a sloping field or a shelf; Cutting shapes from sheet material.
What should I learn before Area of Parallelogram?
Make sure you are comfortable with Area of Rectangle and Square, the previous topic in Geometry.
What is a common mistake with Area of Parallelogram?
Using the slanted side instead of the perpendicular height.
How can I practise Area of Parallelogram?
Open the interactive lesson, play with the visual, then answer the three-question mini-quiz. Getting two right marks the topic complete.
What comes after Area of Parallelogram?
Move on to Area of Triangle next.
Related intermediate topics in Geometry
- Vertical Angles – Opposite angles formed by intersecting lines are equal.
- Parallel Lines and Transversals – Corresponding and alternate interior angles are equal.
- Exterior Angle Theorem – An exterior angle equals the sum of the two remote interior angles.
- Triangle Inequality – Any two sides sum to more than the third.
- Congruent Triangles – Same shape and size: SSS, SAS, ASA, AAS, HL.
- Similar Triangles – Same shape, proportional sides: AA, SAS~, SSS~.