# Areas of Composite Shapes

## Find the areas of combined shapes made up of one or more simple polygons and circles

##### Level 1Level 2Level 3Level 4Level 5Level 6Area MazeExam-StyleDescriptionHelpMore

This is level 5; Real life composite area questions from photographs.

 These paving slabs are roughly in the shape of trapesia with parallel sides of lengths 45cm and 65cm. The parallel sides are 51cm apart. From these measurements what is the area of one slab in square centimetres? cm² The letter 'T' in this sign is made up of two rectangles. The width of both rectangles is 12cm. The length of the top rectangle is 98cm while the length of the other is 1.5 metres. What is the area of the 'T' in square centimetres? cm² The stained glass window shown here is in the shape of a large rectangle with a semi-circle on top. If the dimensions of the rectangle are 1.2m x 3.5m find the window area in square metres to three significant figures. m² This taxi sign is 2.1 metres wide and 39cm tall. Assuming the ends are perfect semi-circles find the area in square metres to three significant figures. m² This arrow can be thought of as two touching parallelograms (the arrow head) joined to an irregular pentagon. What is the area of the pentagon if the total arrow area is 1000cm². The top and bottom edges of the arrow are 12cm in length and are 40cm apart. Give your answer in square centimetres. cm² This ornate box is in the shape of a regular hexagon. The length of each edge is nine and a half centimetres. The distance across the box from the middle of one edge to the middle of the opposite edge is 17cm. What is the area (to two decimal places) of the base of the box in square centimetres? cm²
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This is Areas of Composite Shapes level 5. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 6
Missing lengths Oblongs Triangles Circles

## 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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An interactive online activity requiring logical thinking and a certain amount of luck. Numbers 1 to 6 are presented randomly and are to be used to produce two 2-digit numbers. Can you ensure that the first number is greater than the second?

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## 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.

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## 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:

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© Transum Mathematics :: This activity can be found online at:
www.transum.org/software/SW/Starter_of_the_day/Students/Areas_of_Composite_Shapes.asp?Level=5

## Description of Levels

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Level 1 - A reminder of the area formulas for basic shapes

Level 2 - Using letters to show how the areas of composite shapes are calculated

Level 3 - Composite shapes made up of rectangles

Level 4 - Composite shapes made up of quadrilaterals, triangles and circles

Level 5 - Real life composite area questions from photographs

Level 6 - Some puzzling composite area questions designed to challenge

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

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.

## Basic Area Formulae

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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