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Compound Shapes

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

Level 1 | Level 2 | Level 3 | Level 4 | Level 5 | Level 6 | Level 7 | Description of levels | Help | Mensuration

This is level 2; Using letters to show how the areas of compound shapes are calculated.

If the area of Triangle is a and the area of Semi-Circle is b then the area of this compound

shape Compound Shape is 2a - b. Find the simplest way of expressing the areas of these shapes:

This is Compound Shapes level 2. You can also try:

See also Missing lengths and areas of 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 compound shapes are calculated

Level 3 - Compound shapes made up of rectangles

Level 4 - Compound shapes made up of rectangles and triangles

Level 5 - Compound shapes made up of quadrilaterals and triangles

Level 6 - Compound shapes made up of quadrilaterals, triangles and circles

Level 7 - Real life compound area questions from photographs

Basic Area Formulae

Rectangle: Area = \(b \times h\)	Triangle: Area = \( \frac12 b \times h\)	Parallelogram: Area = \(a \times b\)
Trapezium: Area = \( \frac12 (a+b) \times c\)	Kite: Area = \(a \times b\)	Circle: Area = \( \pi r^2\)

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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