# Area and Perimeter of a Rectangle

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

##### Area BuilderLevel 1Level 2InvestigationDescriptionHelp VideoMore Measures

This is level 2: find the dimensions of rectangles given their areas and perimeters. 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.

 1. Find the shortest side of a rectangle if its area is 16 square centimetres and its perimeter is 20 centimetres.Area = 16cm2Perimeter = 20cm Working: cm 2. Find the shortest side of a rectangle if its area is 60 square centimetres and its perimeter is 32 centimetres.Area = 60cm2Perimeter = 32cm Working: cm 3. Find the longest side of a rectangle if its area is 80 square metres and its perimeter is 36 metres.Area = 80m2Perimeter = 36m Working: m 4. Find the longest side of a rectangle if its area is 70 square metres and its perimeter is 34 metres.Area = 70m2Perimeter = 34m Working: m 5. Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 800 square milimetres and its perimeter is 114 milimetres.Area = 800mm2Perimeter = 114mm Working: mm 6. Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 1353 square milimetres and its perimeter is 148 milimetres.Area = 1353mm2Perimeter = 148mm Working: mm 7. A rectangle's length is 4cm longer than its width. Its area is 1152cm². What is it's width? Working: cm 8. A rectangle's width is 5m shorter than its length. Its perimeter is 122m. What is it's length? Working: m 9. The numerical value of the area of a square is 5 times bigger than its perimeter when measured using the centimetres. How long is the side of this square?SQUAREArea = 5 × Perimeter Working: cm 10. This last question is about a cuboid. Find the shortest side of a cuboid if its volume is 50 cubic feet and its surface area is 90 square feet. You might also find it helpful to know that the sum of the length of all 12 sides is 48 feet. Working: feet
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This is Area and Perimeter of a Rectangle level 2. You can also try:
Area Builder Level 1 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.

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Could we have some on angles too please?"

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## Teachers

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www.transum.org/Software/SW/Starter_of_the_day/students/Oblongs.asp?Level=2

## 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

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.

## Curriculum Reference

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

## Help Video

This video is from the Mometrix Academy.

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.

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