# Area of a Trapezium

## Check that you can find the area of a trapezium and use the trapezium area formula for problem solving.

##### Level 1Level 2DescriptionHelpMore Areas

This is level 2: apply the trapezium area formula in different ways. You can earn a trophy if you get at least 7 questions correct and you do this activity online. The diagrams are not drawn to scale.

 The area of the trapezium shown in the diagram is 40cm2. Find the value of a Working: cm The area of the trapezium shown in the diagram is 130cm2. Find the value of b Working: cm The area of the trapezium shown in the diagram is 513m2. Find the value of c in metres Working: m Find the area of the trapezium shown in the diagram if its perimeter is 68cm and its height is 20cm Working: cm2 The area of the composite shape made with two identical trapezia is 3744mm2. Calculate the distance from A to B. Working: mm Four congruent trapezia are drawn on an empty car park as shown. The total area of the composite shape they form is 3060m2. Find the value of d Working: m The perpendicular distance between the parallel sides of this trapezium is 19cm. The area of the trapezium is 570cm2. Find the value of x Working: cm The perpendicular distance between the parallel sides of this trapezium is 16cm. The area of the trapezium is 360cm2. Find the value of y Working: cm The parallel sides of a trapezium are 10cm apart. The ratio of the lengths of the parallel sides is 7:8. If the area of the trapezium is 150cm2 find the difference between the lengths of the two parallel sides. Working: cm The parallel sides of a trapezium are 24cm apart. One of the two parallel sides is 6cm longer than the other. If the area of the trapezium is 1128cm2 find the length of the longer of the two parallel sides. Working: cm
Check

This is Area of a Trapezium level 2. You can also try:
Level 1 Areas of other shapes

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London:

"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

#### Bidmaze

Find your way through the maze encountering mathematical operations in the correct order to achieve the given total. This is an addictive challenge that begins easy but develops into quite a difficult puzzle.

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

Subscribe

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Wednesday, October 4, 2017

"What is the definition of a trapezium? Is it a shape with exactly one pair of parallel sides or at least one pair of parallel sides? Or maybe even none at all! Different cultures define a trapezium slightly differently and many have the term trapezoid too. In the US (for some) a trapezium is a four sided polygon with no parallel sides; in the UK a trapezium is a four sided polygon with exactly one pair of parallel sides; whereas in Canada a trapezoid has an inclusive definition in that it’s a four sided-polygon with at least one pair of parallel sides - hence parallelograms are special trapezoids.

To read the full blog post go to Cambridge Mathematics."

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For All:

## Description of Levels

Close

Level 1 - Find the areas of the trapezia

Level 2 - Apply the trapezium area formula in different ways

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Formula

The area of a trapezium is half the sum of the parallel sides multiplied by the distance between them.

## Example

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Close