Perimeter follows the boundary

Primary 3 Area and Perimeter study guide: the whole chapter, step by step

About this subtopic

The idea in brief. Perimeter is the total length of the boundary, including every inward edge. Trace the outside edge only. Internal joins and shaded squares are not part of the perimeter. In the lesson. Last lesson, you found the area of a figure by counting the square units it covers. Today, we will find the perimeter of a figure by going all the way round it. Perimeter is the total length all the way round a figure. Add every side, even the sides that go in.

Lesson video, with the working

Perimeter

3 min 59 s

The film teaches 3 questions in turn. Each question shows first; its working is written as the film explains it.

Watch on its own page

Today's question

Lin cuts out the L-shaped card shown. Find its perimeter.

  1. Perimeter = 8 + 2 + 3 + 4 + 5 + 6 = 28 cm

Ans: 28 cm

Example 1 of 2

Lin draws a square card. Each side is 6 cm long. Find its perimeter.

  1. Perimeter = 6 + 6 + 6 + 6 = 24 cm

Ans: 24 cm

Example 2 of 2

The figure shows Lin's stepped card. Find its perimeter.

  1. Missing side = 10 cm − 6 cm = 4 cm
  2. Perimeter = 10 + 3 + 4 + 5 + 6 + 8 = 36 cm

Ans: 36 cm

How to solve it
  1. Perimeter is the total length all the way round a figure.
  2. Start at a corner and go round, writing each side. Sides that go in count too.
  3. If a side is missing, work it out. The top is 10 centimetres and the bottom 6, so the step is 4.
  4. Stop when you are back where you started.
  5. Add every side: 8 plus 2 plus 3 plus 4 plus 5 plus 6 is 28 centimetres.

Perimeter is the total length all the way round a figure. Add every side, even the sides that go in.

Practice questions with worked solutions

Question 1 is free to try. The other 7 open in the free trial, each with its solution film.

Basic

Intermediate

Challenge

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7 more questions, each with its solution film.Answers checked, progress kept, wrong ones come back in revision. No card needed.

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Question 1 of 8 · Basic · free to tryA rectangular mat is 11 cm long and 4 cm broad. Find its perimeter.A rectangular mat is 11 cm long…

A rectangular mat is 11 cm long and 4 cm broad. Find its perimeter.

cm

Show the working and the answer

Video solution · 1 min 11 s

Watch it in the free 7-day trial

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Working

  1. Perimeter of a rectangle = length + breadth + length + breadth
  2. Perimeter = 11 + 4 + 11 + 4 = 30 cm
  3. The perimeter of the mat is 30 cm.

Answer: 30 cm

For parents

How do you find the perimeter of rectilinear figures in P3?

A rectilinear figure is a flat shape whose sides are all straight lines meeting at right angles, like an L or a staircase.

What your child learns here

A rectilinear figure is a flat shape whose sides are all straight lines meeting at right angles, like an L or a staircase. This page teaches the meaning of perimeter, the distance all the way round, and how to add it up without leaving a side out.

  • Perimeter is the total length of the boundary of a plane figure.
  • Perimeter is a length, so it is measured in cm or m, not in square units.
  • Every edge on the outside counts, including edges that turn inwards.
  • A side with no label can often be found from the sides opposite it.
Does the answer make sense?

The perimeter of a figure with only right-angled corners can never be shorter than the distance round the smallest rectangle that fits around it. Your child can add that box's length and breadth and double it; the answer should be that much or more, in cm or m, never in square units.

How to practise these questions

The Basic questions practise adding all the sides of rectangles and squares. The Intermediate questions add rectilinear figures, where some side lengths are not marked and must be found. The Challenge questions ask your child to follow the boundary of a figure with notches or steps, counting each edge only once. If a perimeter question stalls, play its solution film and return to it later from Revision.

Questions parents ask

What is a rectilinear figure? It is a flat shape whose sides are all straight, and where every corner is a right angle, such as an L shape or a staircase shape. The Primary 3 syllabus names the perimeter of rectilinear figures, rectangles and squares.

Is perimeter measured in cm or cm²? Perimeter is a length, so it is written in cm or m. Square units such as cm² are only for area.

How can I help my child remember the difference between area and perimeter? Link perimeter to walking round the edge of a field and area to the grass inside it. On paper, perimeter is traced with a pencil along the outline, while area is shaded in.