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Areas of Composite Shapes

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

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This is level 1; A reminder of the area formulas for basic shapes.

Find the areas of the following shapes. For the circle questions give your answer to the nearest square metre. The diagrams are not drawn to scale.

Area = Correct Wrong

Area = Correct Wrong

Area = Correct Wrong

Area = Correct Wrong

Area = Correct Wrong

Area = Correct Wrong

Area = Correct Wrong

Area = Correct Wrong

Area = Correct Wrong

Area = Correct Wrong

Area = Correct Wrong

Area = Correct Wrong

This is Areas of Composite Shapes level 1. You can also try:

See also Missing lengths, Oblongs, Triangles and Circles for more practice.

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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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

Basic Area Formulae

Rectangle:
Area = b x h

Triangle:
Area = ½b x h

Parallelogram:
Area = a x b

Trapezium:
Area = ½(a+b) x c

Kite:
Area = ½a x b

Circle:
Area = π

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.

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