Perimeter (Cambridge (CIE) IGCSE International Maths)
Revision Note
Written by: Naomi C
Reviewed by: Dan Finlay
Perimeter
What is perimeter?
Perimeter is the total distance around the outside of a 2D shape
The perimeter of a circle is called the circumference
Perimeter is a length in one dimension
Units of measure include mm, cm, m etc
How do I find the perimeter of a 2D shape?
Add together the lengths of all of the sides of the shape
For any regular 2D shape, the perimeter will be the number of sides, multiplied by the length of one side
For example, the perimeter of a square of side length x cm will be 4x cm
How do I find the perimeter of a compound shape?
Shapes may be made up of two or more 2D shapes, these are called compound shapes
Compound shapes can usually be split into rectangles, triangles and parts of circles
You will need to be confident with the properties of 2D shapes
For example, the distance between the centre point of a circle and a point on the circumference is its radius
Look out for sides that are equal, for example in a rectangle, parallelogram, or isosceles triangle
Dashes may be used to mark the equal sides, or the question may tell you which sides are equal
You may need to use certain formulas to calculate lengths
For example, you may need to use Pythagoras' theorem to calculate a length on a right-angled triangle
You may need to use the given information to find the lengths of some of the sides
For example, the L-shape below can be split into two rectangles
The sum of the lengths of two shorter sides will be the same as the length of the longer side opposite
Examiner Tips and Tricks
Understanding properties of different 2D shapes can be essential for missing lengths.
Worked Example
Find the perimeter of the compound shape.
The shape can be split up into a triangle and two rectangles
The dashes on the triangle mean that the lengths are equal
It is an isosceles triangle and the missing length is 6 cm
The horizontal lengths of the two rectangles add up to the length of the longest horizontal line
15 cm and the missing length, are equal to the 18 cm length at the top
The missing horizontal length is therefore 3 cm
You can now find the sum of all the sides to find the total perimeter
6 + 6 + 18 + 2 + 3 + 4 + 15
54 cm
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