Math

Free Trapezoid Area Calculator

Area of a trapezoid from parallel sides and height.

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Inputs

Result

Area

26.000

Median (midsegment)6.500

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Short answer

Area of a trapezoid from parallel sides and height.

What is the Trapezoid Area Calculator?

Area of a trapezoid from parallel sides and height.

How does the Trapezoid Area Calculator work?

Enter the inputs above and read the result.

Formula

A = ½(a + b) × h

Variables

  • a,bLengths of the parallel sides
  • hPerpendicular height

Explanation

The area is the average of the parallel sides times the height.

Examples

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            Related concepts

            The Trapezoid Area Calculator sits inside the Math Calculators hub, in the geometry & shapes cluster. Length, area, volume and angle in two and three dimensions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.

            areaperimetervolumesurface areaanglecoordinate plane

            Practical use cases and industry applications

            Understanding Trapezoid Area

            Area of a trapezoid from parallel sides and height. Within math calculators, trapezoid area belongs to the geometry & shapes cluster, where it shares terminology and assumptions with closely related tools.

            Learning how trapezoid area is calculated

            The area is the average of the parallel sides times the height. Working through the variables one at a time — a,b, h — makes the result reproducible by hand and easier to sanity-check.

            Using trapezoid area to make a decision

            Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.

            How trapezoid area compares with related measures

            area, perimeter, volume, surface area all describe adjacent aspects of geometry & shapes. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.

            Frequently asked questions

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