Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Find the Area of a Trapezium

In this worksheet, students will learn the formula for finding the area of a trapezium and use it to calculate areas.

'Find the Area of a Trapezium' worksheet

Key stage:  KS 4

Year:  GCSE

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Geometry and Measures, Mensuration

Curriculum subtopic:   Mensuration and Calculation Area Calculations

Popular topics:   Area worksheets

Difficulty level:  

Worksheet Overview

Oh yes.... the awkward one -  the trapezium!


A trapezium


Where might you see a trapezium?

Trapeziums can be used in a lot of design or architectural work.

Don't be put off by the awkward shape.  


The good news is that there is a formula to help us.

The bad news is that you have to learn it!


Area of a trapezium


The confusing bit: (a + b) ÷ 2 x height  This is the scary-looking formula often given at the front of an exam paper.

The easy bit is that the a and b just need to be substituted for numbers: (top length + bottom length) ÷ 2 x height.


A trapezium


 The area of this trapezium is:

 6 + 12 = 18

 18 ÷ 2 = 9

 9 x 8 = 72 cm²


This will soon become second nature.

Remember when working with area, we always answer in units squared.


a dog


Now you could go barking up the wrong tree so be careful.

 When you are given measurements for a trapezium, you are sometimes given the top, bottom, vertical height and a slanted height.  

You always want the vertical height as shown in the diagram above.


Once you have learned the formula you are flying.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started

Popular Maths topics

Try an activity or get started for free

  • National Tutoring Awards 2023 Shortlisted / Parents
    National Tutoring Awards 2023 Shortlisted
  • Private-Tutoring-WINNER-EducationInvestor-Awards / Parents
    Winner - Private Tutoring
  • Bett Awards Finalist / Parents
  • Winner - Best for Home Learning / Parents
    Winner - Best for Home Learning / Parents