Theme park maths quest: area
A story-led junior maths adventure using queues, tickets and ride timings to cover floors, gardens and maps with squares.
Quick answer
You can find the area of a theme park by counting how many square units fit inside its shape, like how many tiles cover a floor or how many seats fit in a ride area.
Learning outcome
By the end of this page, you will be able to find the area of rectangles and squares by counting squares or multiplying length and width.
- You can tell how much space a ride, queue, or garden takes up
- You can measure areas using square units like tiles or blocks
- You can use multiplication to find area quickly
- You can solve problems about theme park spaces
Why this matters
When you visit a theme park, you need to know how big things are to plan your day. If you want to know how much space a ride queue takes up, or how many people can fit in a garden, you use area. Area helps you understand space in real life. It's also important for building, art, and even designing your own theme park!
How it works
Area is how much space a shape takes up. You can find area by:
- Counting squares inside a shape
- Multiplying the length by the width
- Using a grid or a ruler to measure
Think of area like covering a floor with tiles. If your floor is 4 tiles long and 3 tiles wide, the area is 12 tiles. That's 4 × 3 = 12.
Examples you can see
Imagine a theme park ride that is 6 metres long and 4 metres wide. To find the area:
| Length | Width | Area |
|---|---|---|
| 6 m | 4 m | 6 × 4 = 24 m² |
You can also draw a grid to count squares:
Each small square is 1 square metre. So 6 × 4 = 24 square metres.
Try it as a mini adventure
Adventure: The Theme Park Area Quest
You are a theme park designer! You need to find the area of different parts of the park to plan where to put rides, gardens, and ticket booths.
1st time: You see a small play area that is 5 metres long and 3 metres wide. What is the area?
2nd time: You see a big garden that is 10 metres long and 6 metres wide. What is the area?
3rd time: You see a ticket booth that is 4 metres long and 2 metres wide. What is the area?
4th time: You see a roller coaster track that is 8 metres long and 5 metres wide. What is the area?
5th time: You see a restaurant that is 7 metres long and 4 metres wide. What is the area?
Common mistakes
- Mistake: Thinking area is just adding length and width.
Why it happens: Children mix up area with perimeter.
Fix: Remember: area = length × width. Perimeter = length + width + length + width. - Mistake: Forgetting to use square units.
Why it happens: Children count squares but forget to say "square metres" or "square feet".
Fix: Always add the word "square" when talking about area. 24 square metres. - Mistake: Counting the lines instead of the squares.
Why it happens: It's easy to count the edges or grid lines.
Fix: Count only the inside squares. Try shading them or using a ruler to measure.
Parent and carer guide
Help your child learn area by:
- Using everyday objects like books, tiles, or blocks to measure and count squares
- Playing the area game: "How many square tiles fit in this box?"
- Looking at maps of local parks or playgrounds to estimate areas
- Practicing with simple multiplication (like 3 × 4 = 12) to find area
- Encouraging them to say "square metres" or "square centimetres" when talking about area
Don’t worry if they make mistakes – that’s part of learning. Use games or drawing to help them understand.
Practice questions
- What is the area of a rectangle that is 7 metres long and 2 metres wide?
- What is the area of a square that is 5 metres on each side?
- What is the area of a garden that is 8 metres long and 3 metres wide?
- What is the area of a ticket booth that is 6 metres long and 4 metres wide?
- What is the area of a play area that is 9 metres long and 5 metres wide?
Answers:
- 7 × 2 = 14 m²
- 5 × 5 = 25 m²
- 8 × 3 = 24 m²
- 6 × 4 = 24 m²
- 9 × 5 = 45 m²
FAQ
What is area?
Area is how much space a shape takes up. It's like covering a floor with tiles.
How do I find the area of a rectangle?
Multiply the length by the width. For example, a rectangle that is 6 m long and 4 m wide has an area of 6 × 4 = 24 m².
Can I find area with a grid?
Yes! Count how many small squares fit inside the shape. Each square is 1 square unit.
Why do we use square units?
Because area is 2-dimensional. It has length and width, so we say "square metres" or "square centimetres".
What if a shape is not a rectangle?
For now, we focus on rectangles and squares. Later, you'll learn how to find area of triangles and other shapes too!