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Parallelogram Area Calculator

Work out parallelogram area instantly with clear inputs, formula shown and shareable results.

About Parallelogram Area Calculator

A parallelogram has the same area as a rectangle on the same base with the same perpendicular height, so A = base × height. The slant side and height give the interior angle through sin θ = h / side.

Formulas

Area

A = base × perpendicular height

Interior angle

θ = arcsin(height ÷ slant side)

Worked example

With the default values below, Parallelogram Area Calculator returns Area of 60.0000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Baseminimum 0
10
Perpendicular heightminimum 0
6
Slant sideminimum 0
8

Results

Area
60.0000
Perimeter
36.0000
Acute interior angle
48.5904 °
Obtuse interior angle
131.4096 °

Step by step

  1. 1Values used
  2. 2Area
  3. 3Interior angle
  4. 4Area= 60.0000
  5. 5Perimeter= 36.0000
  6. 6Acute interior angle= 48.5904 °
  7. 7Obtuse interior angle= 131.4096 °

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Why not multiply the two side lengths?

That would give the area only for a rectangle. For a slanted parallelogram you need the perpendicular height, which is shorter than the slant side.

Do opposite angles stay equal?

Yes, and adjacent angles are supplementary, which is why the two reported angles add to 180°.

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