Area of a Parallelogram Calculator

A = base ร— height (perpendicular height).

Inputs

Result

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How to use this calculator

  • Enter the base.
  • Enter the perpendicular height (not the slant side).

About this calculator

A parallelogram has two pairs of parallel sides. Its area is base ร— perpendicular height โ€” the same formula as a rectangle, because slanting the rectangle doesn't change the area (the missing right triangle from one side reappears on the other).

Frequently asked

Why is the height the perpendicular distance, not the slant length?+
Because area is preserved by the slant โ€” a parallelogram is a rectangle that's been pushed sideways. The actual side length doesn't enter the area formula.
How is this different from a rhombus?+
A rhombus is a parallelogram with all four sides equal. The same b ร— h formula works.
Can I use side length ร— side length ร— sin(angle)?+
Yes โ€” that's the SAS form. A = a ร— b ร— sin(ฮธ), where ฮธ is the angle between adjacent sides.
How is a parallelogram different from a trapezoid?+
A parallelogram has both pairs of opposite sides parallel; a trapezoid has only one pair.
What if my parallelogram is a rectangle?+
Then height = the perpendicular side length. The formula reduces to length ร— width.

Related calculators

Area of a Rectangle Calculator
A = length ร— width.
Area of a Rhombus Calculator
A = (dโ‚ ร— dโ‚‚) / 2 โ€” half the product of the diagonals.
Area of a Trapezoid Calculator
A = ยฝ ร— (parallel side a + parallel side b) ร— height.
Area of a Triangle Calculator
Three formulas: base ร— height รท 2, SAS (two sides and angle), and Heron's (three sides).
Rectangle Perimeter Calculator
P = 2(l + w). Length plus width, doubled.
Rectangular Prism Volume
V = l ร— w ร— h. Box / cuboid volume.

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