Trapezoid Area

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Trapezoid Area Calculation:

  •  a =
    Base 1

    Length of the first parallel base.

  •  b =
    Base 2

    Length of the second parallel base.

  •  h =
    Height

    Perpendicular distance between the two bases.

  •  u =
    Units

    Optional unit label to append to the area.

  •  A =
    Area

    Area enclosed by the trapezoid.

  • Decimals

    Choose the number of decimals to show in your answer. This is also known as significant figures. Select an appropriate amount of significant figures based on the precision of the input numbers.

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Trapezoid Area Formula

The area of a trapezoid is the average of its two parallel bases multiplied by the height.

A = ((a + b) / 2) x h

Live Diagram

The drawing shows the two bases and the perpendicular height used by the formula.

Trapezoid Area Variables

Base 1 and Base 2
The two parallel sides of the trapezoid.
Height
The perpendicular distance between those bases.
Area
The total two-dimensional area inside the trapezoid.

How the Calculation Works

  1. Add the two base lengths.
  2. Divide by 2 to get their average.
  3. Multiply by the height.

Trapezoid Area Example

What is the area of a trapezoid with bases 4 and 6 and height 3?

  • A = ((4 + 6) / 2) x 3
  • A = (10 / 2) x 3
  • A = 5 x 3
  • A = 15 square units

A trapezoid with bases 4 and 6 and height 3 has an area of 15 square units.