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Numbers · geometry · parallelogramArea of a parallelogram — formula and calculator

Work out the area of a parallelogram with the formula S = a × h — your numbers substituted and a diagram drawn. The perimeter is calculated too. Units can be mixed, and the answer comes in the units you need, hectares and acres included.

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01Calculator02Formula03Example04Mistakes05Nearby06Related
01

Calculator

enter the sizes — the formula and diagram follow

Parallelogram

area · perimeter
a = 8 cmh = 4 cmb
diagram · not to scale
Result
Area
32cm²
= 0.0032 m²
Perimeter
—enter b
How it was calculated
S = a × h = 8 × 4 = 32 cm²
← Other shapes and the composite shape
02

Formula

and what each letter means
Area
S = a × h
Perimeter
P = 2(a + b)
Notation
a
base
h
height to the base
b
side
03

Worked example

with real numbers
Givena = 8 cm, h = 4 cm
Solution
S = a × h = 8 × 4 = 32 cm²
Answer: area — 32 cm².
04

Common mistakes

The area is base times height, not base times side: a × b only works for a rectangle.

The height is the perpendicular between the bases; on a slanted parallelogram it is always shorter than the side.

05

Nearby shapes

RectangleS = a × bRhombusS = d₁ × d₂ / 2TrapezoidS = (a + b) / 2 × hCalculatorAll 19 shapes, the composite shape and hectares →
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