Find parallelogram area and perimeter from base, height, and side
Result
Parallelogram Results
Step-by-Step Derivation
Parallelogram Area Formula
A = bh, P = 2(b + s)
Parallelogram area is base times perpendicular height. The perimeter uses the base and slanted side length, adding two of each because opposite sides are equal.
⚠Height must be perpendicular to the base. The side length is used for perimeter and may be different from height.
How Parallelogram Area Works
A parallelogram can be rearranged into a rectangle with the same base and height, which explains why the area is base times height.
Base
The chosen bottom side.
Height
Perpendicular distance to the opposite side.
Side Length
Used with base to find perimeter.
Opposite Sides
Opposite sides are equal and parallel.
💡 Example: For base 10, height 6, side 7: area=60 and perimeter=34.
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