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Trapezoid Area Calculator

Enter the two parallel sides and the height.

Katha and bigha sizes differ by district. This tool uses 1 katha = 720 sq ft and 1 bigha = 20 katha. Check your deed.

a = 6 mb = 10 mh = 5 m

Schematic, not to scale.

Area of the trapezoid

40 m²

In Square feet (ft²)

Square feet (ft²)
430.55642

Every unit

Square metres (m²)
40
Square feet (ft²)
430.55642
Square yards (yd²)
47.839602
Square kilometres (km²)
0.00004
Square miles (mi²)
0.000015444086
Acres
0.0098842153
Hectares (ha)
0.004
Decimal / Shotangsho (BD)
0.98842153
Katha (BD)
0.59799502
Bigha (BD)
0.029899751

Formula

A=12(a+b) hA=\tfrac12 (a+b)\,hA=21​(a+b)h

Step by step

  1. 1Formula
    A=12(a+b) hA=\tfrac12 (a+b)\,hA=21​(a+b)h
    ↓
    A=12(6+10)×5=12×16×5A=\tfrac12(6+10)\times 5=\tfrac12\times 16\times 5A=21​(6+10)×5=21​×16×5
  2. 2Substitute
    A=12(6+10)×5=12×16×5A=\tfrac12(6+10)\times 5=\tfrac12\times 16\times 5A=21​(6+10)×5=21​×16×5
    ↓
    A=40 m2A=40\ \text{m}^{2}A=40 m2
  1. Tools
  2. Mathematics
  3. Area Calculator
  4. Trapezoid Area Calculator

About Trapezoid Area Calculator

This trapezoid area calculator averages the two parallel sides and multiplies by the height: A = ½(a + b)h. The page opens on sides 6 and 10 with height 5 and shows the result in square feet. It is free, needs no sign-up and runs in your browser, so nothing you enter is uploaded.

Sides 6 and 10 average to 8, and 8 × 5 = 40 square metres, about 430.6 square feet. The slanted legs are not needed.

How to use Trapezoid Area Calculator

  1. 1Choose the shape from the list.
  2. 2Type its dimensions, such as length and width or radius. The labels in each box name the measurement.
  3. 3Pick the unit you measured in, and the unit you want the area converted to.
  4. 4Read the area, the converted value and the table of every unit.
  5. 5Compare your shape with the labelled diagram to make sure each number is the right measurement.
  6. 6Open the step-by-step working to see the formula with your numbers in it.

Features

  • Eleven shapes, each with formula, working and diagram.
  • Eight length units for the inputs, from millimetres to miles.
  • Result converted to square metres, feet, yards, kilometres, miles, acres and hectares.
  • Bangladesh land units: decimal (shotangsho), katha and bigha.
  • Perimeter or circumference where the inputs allow it.
  • Regular polygon for any number of sides from 3 to 1000.
  • Sector area from the angle in degrees, annulus from outer and inner radius.
  • Clear errors, such as an inner radius larger than the outer one.

Trapezoid area

The mean of the parallel sides times the height.

A = ½ (a + b) h

Worked examples

  • a = 6, b = 10, h = 5 → gives 40 square units

    ½ × 16 × 5 = 40.

Privacy: how it works

  • All calculations run in your browser tab. The measurements you enter are not sent to Ulkaa or to any other server, and there is nothing to sign in to.

Tips

  • Measure everything in the same unit before you enter it, or set the unit selector to match.
  • The height of a triangle, trapezoid or parallelogram is the perpendicular distance, not the slanted side.
  • For an L-shaped room, split it into two rectangles, find each area and add them.
  • A rhombus needs its two diagonals, not its side length.

Frequently asked questions

Is it really free?

Yes. There is no price, no trial and no credit card. Ulkaa Tool does the work with your own device, so there is no server bill to pass on to you.

Do I need an account?

No. There is no sign-up and no login. Open the page and use it. An Ulkaa account is not needed for anything on this tool.

Does it run in my browser?

Yes. Your measurements are processed by code running in your browser tab, on your own device.

Is my data uploaded?

No. Your measurements are never sent to Ulkaa or to anyone else. You can check this yourself by watching the Network tab in your browser developer tools while you use the tool.

What is a trapezoid?

A four-sided shape with one pair of parallel sides. In British English it is called a trapezium.

Do I need the slanted sides?

No. Only the parallel sides and the perpendicular height matter for the area.

More Area Calculator pages

  • Area CalculatorPick a shape, enter its dimensions and get the area with the formula, the working and a labelled diagram, in the unit you need.
  • Square Area CalculatorEnter the side of a square to get its area and perimeter.
  • Rectangle Area CalculatorEnter the length and width of a rectangle to get its area and perimeter.
  • Triangle Area CalculatorEnter the base and the perpendicular height of a triangle.
  • Circle Area CalculatorEnter the radius of a circle to get its area and circumference.
  • Ellipse Area CalculatorEnter the two semi-axes of an ellipse.
  • Parallelogram Area CalculatorEnter the base and the perpendicular height.
  • Rhombus Area CalculatorEnter the two diagonals of a rhombus.
  • Sector Area CalculatorEnter the radius and the central angle of a sector.
  • Regular Polygon Area CalculatorEnter the number of sides and the side length.
  • Hexagon Area CalculatorEnter the side of a regular hexagon.
  • Annulus Area CalculatorEnter the outer and inner radius of a ring.
  • Land Area CalculatorEnter the sides of a plot and read its area in katha, decimal, bigha, acres and square feet.

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