Area of Parallelograms Formula
The Formula
When to use: Cut a triangle off one end of the parallelogram and slide it to the other end — you get a rectangle with the same base and height.
Quick Example
Notation
What This Formula Means
The area of a parallelogram is the product of its base and perpendicular height: A = bh.
Cut a triangle off one end of the parallelogram and slide it to the other end — you get a rectangle with the same base and height.
Common Mistakes
- Using the slanted side length as the height instead of the perpendicular distance between bases
- Confusing the parallelogram formula (A = bh) with the triangle formula (A = \frac{1}{2}bh)
- Forgetting that any side can be chosen as the base, but the height must be perpendicular to that chosen base
Why This Formula Matters
Connects rectangle area to non-rectangular shapes and leads to the triangle area formula (\frac{1}{2}bh).
Frequently Asked Questions
What is the Area of Parallelograms formula?
The area of a parallelogram is the product of its base and perpendicular height: A = bh.
How do you use the Area of Parallelograms formula?
Cut a triangle off one end of the parallelogram and slide it to the other end — you get a rectangle with the same base and height.
What do the symbols mean in the Area of Parallelograms formula?
b = base, h = perpendicular height
Why is the Area of Parallelograms formula important in Math?
Connects rectangle area to non-rectangular shapes and leads to the triangle area formula (\frac{1}{2}bh).
What do students get wrong about Area of Parallelograms?
The height is not the slanted side — it is the perpendicular distance between the two parallel bases.
What should I learn before the Area of Parallelograms formula?
Before studying the Area of Parallelograms formula, you should understand: area, shapes.