Parallelogram Area Calculator

Parallelogram area calculator determines the area for an arbitrary parallelogram using three parallelogram area formulas.

Clear
Area40
Base8
Height5
Perimeter28
Angle at the base56.4427°
Diagonals12.371984 and 6.85084

The formula

A = base × height, P = 2(a + b)

Height, not side length

The area uses the perpendicular height, not the slanted side. Shearing a rectangle into a parallelogram leaves the area unchanged while the sides get longer — which is exactly why using the side would overstate it.

Area scales with the square

Double every length in a flat shape and the area quadruples; triple them and it grows ninefold. Perimeter, being a length, scales in step with the sides. That mismatch is why bigger shapes enclose proportionally more area per unit of edge — and why a circle, having no corners at all, encloses the most area for a given perimeter of any shape.

Units

Whatever unit you enter, the area comes out in that unit squared and the perimeter in the unit itself. The calculator is unit-agnostic — enter centimetres and read cm and cm², or feet and read ft and ft². Just do not mix units between fields.