Transum Software

Area and Perimeter of a Rectangle

Questions on the areas and perimeters of rectangles which will test your problem solving abilities.

Area Builder Level 1 Level 2 Investigation Description Help More Measures

This is level 1: find the perimeters and areas of rectangles. You can earn a trophy if you get at least 9 questions correct and you do this activity online. The diagrams are not drawn to scale.

1. Find the area of a rectangle if it has a width of 5cm and a length of 7cm.

5cm

7cm

cm² Correct Wrong

2. Find the perimeter of a rectangle above.

cm Correct Wrong

3. Find the area of a rectangle if it has a width of 2cm and a length of 6cm.

2cm

6cm

cm² Correct Wrong

4. Find the perimeter of the rectangle above.

cm Correct Wrong

5. A rectangular carpet is 4m wide and 7m long. Find the area of the carpet in square metres.

Correct Wrong

6. Percy Cod takes a walk around the perimeter path of his local park. The park is in the shape of a rectangle which is 600m wide and 1200m long. Find the distance, in metres, that Percy walks.

m Correct Wrong

7. A portrait of Shakespeare is 38cm wide and 48cm tall. Find the area of the portrait in square centimetres.Portrait

cm² Correct Wrong

8. Find the perimeter of the portrait above.

cm Correct Wrong

9. The rectangular football pitch in Wembley stadium is 69m wide and 105m long. Find the area of the pitch in square metres.Portrait

Correct Wrong

10. A rectangle with a width of 3cm has an area of 21cm². What is the length of this rectangle?

cm Correct Wrong

11. A rectangle with a width of 4m has a perimeter of 22m. Find the length of this rectangle?

m Correct Wrong

12. The length of a rectangular swimming pool is exactly three times as long as its width. If the pool has a perimeter of 232m find the width of the pool.

m Correct Wrong
Check

This is Area and Perimeter of a Rectangle level 1. You can also try:
Area Builder Level 2 Investigation

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.

Why am I learning this?

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 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

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Description of Levels

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Area Builder - An interactive workspace in which to make shapes using square tiles with given areas and perimeters.

Level 1 - Find the perimeters and areas of rectangles

Level 2 - Find the dimensions of rectangles given their areas and perimeters

Area Mazes - These are brilliant! When you think you know the formula for the area of a rectangle these puzzles will give you quite a challenge.

Investigation - The perimeter of a rectangle is 28cm. What could its area be?

More on this topic including lesson Starters, visual aids and investigations.

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.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Help Video

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.

Log in Sign up

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