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Math · Grade 3 Math

Chapter 4: Area and Perimeter

Perimeter

The distance all the way round.

Lesson
5
Time
About 12 minutes
0 of 7 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Perimeter is the distance all the way round the outside of a shape.

Perimeter is the total distance around the edge of a shape.

Add every side

Walk round the shape and add each side as you pass it.

A rectangle shortcut

A rectangle has two of each side. So perimeter is width + height + width + height.

Not square units

A perimeter is a length, so it is measured in units, not square units.

Perimeter is the distance round the edge

Perimeter is what you would walk if you went all the way around the outside of a shape and back to your starting point. It is a length, so it is measured in centimetres or metres — not in square units.

Add every side

For a rectangle 6 by 4, the perimeter is 6 + 4 + 6 + 4 = 20. Some people use 2 × (6 + 4), which is the same thing grouped differently. For an irregular shape there is no formula — you simply add all the sides, so mark each one as you use it.

Missing sides on a drawing

Diagrams often leave some side lengths off, expecting you to work them out from the opposite sides. On a rectangle, opposite sides are equal, so one measurement gives you two. Fill in every side on the drawing before adding anything.

Step 2: Try It Yourself

Tap and try it out.

The heavy outline is the perimeter. Add the four sides.

Area · squares inside

15

Perimeter · walk around

16

5 × 3 = 15 · 5 + 3 + 5 + 3 = 16

Area counts the squares inside. Perimeter measures the walk all the way round.

Step 3: Watch an Example

One step at a time.

Watch Ana Walk the Edge

Ana finds the perimeter of a rectangle 5 by 3.

  1. Step 1

    She starts at a corner and walks along the top: 5.

Step 4: Your Turn

Practice makes it stick.

The Fence

Problem 1 of 2

A garden is 8 m by 6 m. How much fence goes all the way round?

metres

The Picture Frame

Problem 2 of 2

A frame is 9 cm by 4 cm. What is its perimeter?

cm

Add the Sides

1 of 3

A rectangle 7 by 3. What is its perimeter?

2 of 3

A square with sides of 6. What is its perimeter?

3 of 3

A rectangle 10 by 2. What is its perimeter?

Step 5: Quick Check

Show what you know.

Question 1 of 2

A rectangle 9 by 5. What is its perimeter?

Question 2 of 2

What units does a perimeter use?

What You Learned

  • Perimeter is the distance all the way round.
  • Add every side of the shape.
  • It is a length, so no square units.