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# What Is The Perimeter: Explained For Primary Parents And Kids!

The perimeter of a shape is the measurement around its edge (the perimeter of a circle is called the circumference).

This blog is part of our series of blogs designed for parents supporting home learning and looking for free home learning resources during the Covid-19 epidemic.

### What is the perimeter of a shape, and how do we measure it?

The perimeter is the total measurement of all the edges of a shape e.g. a triangle has three edges, so its perimeter is the total of those three edges added together.

The perimeter of a square is easy to calculate if one side is given as all sides are the same length; the perimeter of a square with side length 5cm is 20cm, because 5 x 4 = 20. The perimeter of a rectangle can be calculated by adding the length and width together and doubling it.

The perimeter of a rectangle with a length of 5cm and width of 3cm can be calculated as 5 + 3 + 5 + 3 (two lots of the length + two lots of the width), or double 5 + 3, which is 16cm.

When measuring the perimeter of more complex shapes, children could be encouraged to highlight each edge as they add it together to ensure they don’t miss any out.

### When will my child learn about perimeter in primary school?

Perimeter is taught in KS2. Children begin by learning to measure the perimeter of simple 2-D shapes in Year 3. This is built on in Year 4, where children measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres.

In upper KS2, children measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres (including using the relations of perimeter or area to find unknown lengths, as advised by the non-statutory guidance for Year 5).

In Year 6, children will recognise that shapes with the same areas can have different perimeters and vice versa.

### How does perimeter relate to other areas of maths?

Perimeter is most closely linked to 2D and 3D shapes, and is one of the most basic and important parts of KS2 Geometry.

A good understanding of how to calculate the perimeter of a shape is needed before children can begin to learn more complex geometric ideas such as area and volume.

Wondering about how to explain other key maths vocabulary to your children? Check out our Primary Maths Dictionary, or try these primary maths terms:

### Practice questions

1. Calculate the perimeter of this square.

(Answer: 8 x 4 = 32cm)

2. Sam drew a rectangle with a perimeter of 28cm. His rectangle was 10cm long. How wide was it?

3. Here are some shapes on a 1cm square grid. a) What is the perimeter of shape A? b) Which shape has the smallest perimeter?

4. Megan says, ‘If two rectangles have the same perimeter, they must have the same area.’ Is she correct? Explain how you know.

(Answer: No – 20cm perimeter could be 2 x 10 or 4 x 5)

5. Here is an equilateral triangle inside a square. The perimeter of the triangle is 48cm. What is the perimeter of the square?

(Answer: 64cm (48/3 = 16 (one side of the triangle) so 16 x 4 = 64)

If you’re looking for additional maths support for any child or pupil who’s struggling – or who needs a bit of a push – get in touch. We specialise in teaching 1-to-1 addressing each child’s needs in maths individually.

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