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Maths Adventures

Theme park maths quest: perimeter

A story-led junior maths adventure using queues, tickets and ride timings to measure fences, walls and safe zones around places.

Quick answer

Perimeter is the total distance around the edge of a shape. You can find it by adding up all the sides of a shape, like measuring the fence around a playground or the path around a theme park ride.

Learning outcome

By the end of this page, you will be able to measure the perimeter of different shapes using a ruler or by adding up the lengths of all the sides. Success signs:
  • You can tell what perimeter means
  • You can measure the sides of a shape
  • You can add up all the sides to find the total distance
  • You can solve problems about the perimeter of shapes in real life

Why this matters

Perimeter helps us understand how much space something takes up around the outside. When you're at a theme park, knowing the perimeter helps you:
  • Plan how long it takes to walk around a ride
  • Find out how much fencing is needed for a new playground
  • Figure out how far you walk in a day at the park
  • Measure safe zones around rides
In real life, perimeter is used for:
  • Building fences around gardens
  • Planning paths for walking
  • Designing playgrounds
  • Measuring how far you run

How it works

Finding the perimeter is like going for a walk around the outside of a shape. You walk along each side and add up the total distance you walked. Step-by-step:
  1. Look at the shape and count how many sides it has
  2. Measure each side using a ruler or by counting units
  3. Add all the side lengths together
  4. Write your answer with the correct unit (like metres or centimetres)

Examples you can see

Let's imagine you're visiting a theme park and you want to measure how far around a rectangular ride stand is. Example 1: Rectangle A ride stand is 6 metres long and 4 metres wide.
  • Two sides are 6 metres long
  • Two sides are 4 metres long
  • Perimeter = 6 + 6 + 4 + 4 = 20 metres
Example 2: Square A small play area is 5 metres on each side.
  • All four sides are 5 metres
  • Perimeter = 5 + 5 + 5 + 5 = 20 metres
Example 3: Triangle A triangular play area has sides of 3, 4, and 5 metres.
  • Perimeter = 3 + 4 + 5 = 12 metres

Try it as a mini adventure

Adventure: Theme Park Perimeter Quest You are a young park planner who needs to measure the fence around different areas of the theme park. Task 1: The Roller Coaster Fence The roller coaster area is a rectangle that is 10 metres long and 8 metres wide.
  • How far is the fence around the whole area?
Task 2: The Water Playground The water playground is a square with each side measuring 7 metres.
  • How far around the edge is the pool area?
Task 3: The Maze Path The maze has three sides of 9, 11, and 8 metres.
  • How far do you walk around the outside of the maze?
Task 4: The Ice Cream Stand The ice cream stand is a rectangle that is 5 metres long and 3 metres wide.
  • How much fence is needed to go around the stand?

Common mistakes

  • Mistake: Forgetting to measure all sides
    Why it happens: When you're counting, you might skip one side or not notice a shape has more than four sides
    Fix: Count the sides first, then measure each one carefully. Use your fingers to count as you go around the shape
  • Mistake: Adding the length and width instead of all sides
    Why it happens: Confusing perimeter with area or thinking you only need two measurements
    Fix: Remember: perimeter = all sides added together. Draw the shape and label each side to help you
  • Mistake: Using the wrong unit of measurement
    Why it happens: Mixing up centimetres and metres or forgetting to write the unit
    Fix: Always write your answer with the correct unit (cm, m, mm)

Parent and carer guide

Parents and carers can help by:
  • Using everyday objects to practice perimeter: a book cover, a table, a garden
  • Measuring with a ruler or tape measure together
  • Counting the sides of shapes before adding them up
  • Encouraging children to draw shapes and label each side
  • Using real-life examples from the park or home
What to say:
  • "Let's measure the sides of this shape together"
  • "Can you count how many sides this shape has?"
  • "What do you think the perimeter will be?"
  • "How far would you walk if you went around this shape?"
What not to worry about:
  • Children might make small mistakes in counting or adding - this is normal
  • It's okay if they don't get the right answer the first time
  • Focus on the process of measuring and adding, not just getting the final answer

Practice questions

  1. What is the perimeter of a rectangle that is 5 metres long and 3 metres wide?
    Answer: 5 + 5 + 3 + 3 = 16 metres
  2. What is the perimeter of a square with sides of 6 metres?
    Answer: 6 + 6 + 6 + 6 = 24 metres
  3. What is the perimeter of a triangle with sides of 4, 5, and 6 metres?
    Answer: 4 + 5 + 6 = 15 metres
  4. What is the perimeter of a rectangle that is 8 metres long and 2 metres wide?
    Answer: 8 + 8 + 2 + 2 = 20 metres
  5. What is the perimeter of a square with sides of 10 metres?
    Answer: 10 + 10 + 10 + 10 = 40 metres

FAQ

What is perimeter?

Perimeter is the total distance around the edge of a shape. You can think of it like walking around the outside of a shape.

How do I find the perimeter of any shape?

Measure each side of the shape and add all the sides together. It works for squares, rectangles, triangles, and any other shape.

Can I use a ruler to find perimeter?

Yes! You can use a ruler to measure each side of a shape, then add them all up to find the perimeter.

Why do we need to know perimeter?

Perimeter helps us plan things like how much fencing we need, how far we walk, or how much space a playground takes up.

What's the difference between perimeter and area?

Perimeter is the distance around the outside of a shape, while area is the space inside the shape. Perimeter is like measuring a fence, area is like measuring the grass inside.