7.2.1

Perimeter

Test yourself

Perimeter

The perimeter of a shape is the 'outside' of the shape. You need to add all of the lengths of the shape.

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Example 1

  • To find the perimeter of this shape, we need to add all the side lengths together.
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Example 2

  • To find the perimeter of this shape, we need to add all the side lengths.
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Missing length

  • Sometimes you might need to work out the missing length of a shape in order to find the perimeter.
  • What is the perimeter of the rectangle above?
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Missing length

  • We use the information that rectangles have two pairs of sides of equal length to work out that the length of the missing side is 4 cm.

Perimeter of Composite Shapes

A composite shape can be made when two or more shapes are put together.

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Example

  • This is a composite shape made up of two rectangles.
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Perimeter of composite shapes

  • To find the perimeter. you must first work out the length of the missing sides.
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Length of side a

  • To work out the length of side a, you need to look at how long the length of the shape is altogether.
    • You can see that the longest verticle side is 6 m.
    • You need to match with the other verticle side, which is 3 m long.
      • 3 m + ? = 6 m
      • So, side a is 3m long.
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Length of side b

  • To work out the length of side b, you need to look at how long the two horizontal lengths are.
    • The horizontal lengths are 4 m and 5 m.
      • 4 m + 5 m = 9 m
      • So, side b is 9 m long.
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Calculating the perimeter

  • You can now calculate the perimeter by adding all the lengths on the 'outside' of the shape.

Jump to other topics

1Year 3 - Number

2Year 3 - Measurement

3Year 3 - Geometry

4Year 3 - Statistics

5Year 4 - Number

6Year 4 - Measurement

7Year 4 - Geometry

8Year 4 - Statistics

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