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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

GCSE Subjects:   Maths

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

Curriculum topic:   Geometry and Measures, Mensuration

Curriculum subtopic:   Mensuration and Calculation Area Calculations

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.

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