Trapezium Area Calculator

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

About Trapezium Area Calculator

A trapezium's area is the average of the two parallel sides times the distance between them. That average is also the length of the median joining the midpoints of the legs.

Formulas

Area

A = ½(a + b) × h

Median

m = (a + b) / 2

Worked example

With the default values below, Trapezium Area Calculator returns Area of 40.0000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Parallel side aminimum 0: 10
Parallel side bminimum 0: 6
Height between the parallel sidesminimum 0: 5
Each non-parallel sideminimum 0: 5.4

Results

Area: 40.0000
Median (midsegment): 8.0000
Perimeter: 26.8000
Base angle at the leg: 67.8084 °

Step by step

1Values used
2Area
3Median
4Area= 40.0000
5Median (midsegment)= 8.0000
6Perimeter= 26.8000
7Base angle at the leg= 67.8084 °

Assumptions and limits

The result is derived only from the 4 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

Does the shape need to be isosceles?

The area and median do not require it, but the reported perimeter and base angle assume the two non-parallel sides are equal.

What if the parallel sides are equal?

Then it is a parallelogram, and the formula reduces to A = a × h.