Area of Parallelograms
Also known as: parallelogram area
Grade 6-8
View on concept mapThe area of a parallelogram is the product of its base and perpendicular height: A = bh. Connects rectangle area to non-rectangular shapes and leads to the triangle area formula (\frac{1}{2}bh).
Definition
The area of a parallelogram is the product of its base and perpendicular height: A = bh.
💡 Intuition
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.
🎯 Core Idea
A parallelogram has the same area as the rectangle with the same base and height because you can rearrange it into that rectangle.
Example
Formula
Notation
b = base, h = perpendicular height
🌟 Why It Matters
Connects rectangle area to non-rectangular shapes and leads to the triangle area formula (\frac{1}{2}bh).
💭 Hint When Stuck
Imagine slicing and sliding: cut the leaning triangle off one side and move it to fill the gap on the other side. Now it is a rectangle.
Related Concepts
See Also
🚧 Common Stuck Point
The height is not the slanted side — it is the perpendicular distance between the two parallel bases.
⚠️ 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
Frequently Asked Questions
What is Area of Parallelograms in Math?
The area of a parallelogram is the product of its base and perpendicular height: A = bh.
What is the Area of Parallelograms formula?
When do you use Area of Parallelograms?
Imagine slicing and sliding: cut the leaning triangle off one side and move it to fill the gap on the other side. Now it is a rectangle.
Next Steps
How Area of Parallelograms Connects to Other Ideas
To understand area of parallelograms, you should first be comfortable with area and shapes. Once you have a solid grasp of area of parallelograms, you can move on to area of triangles and area of trapezoids.