Museum maths quest: area
A story-led junior maths adventure using artefacts, clues and history puzzles to cover floors, gardens and maps with squares.
Quick answer
You can find the area of a shape by counting how many square units fit inside it, or by multiplying length by width for rectangles.
Learning outcome
By the end of this page, you will be able to find the area of rectangles by counting squares or using multiplication.
- You can count squares to find the area of a shape
- You can use the formula length × width to find area
- You can compare areas of different rectangles
- You can solve a real-life problem involving area
Why this matters
Area helps us understand how much space something takes up. When you're planning a garden, designing a room, or even playing a game, you need to know how much space you have. In a museum, area helps curators know how much space each artefact needs. It's like measuring how big a footprint is!
How it works
Area is the amount of space inside a shape. For rectangles, we can find the area in two ways:
- Count the squares inside the rectangle
- Multiply the length by the width
Let's explore how this works with a fun story!
Examples you can see
Imagine you're on a museum quest. You find a treasure map with a rectangle drawn on it. To find the treasure, you need to know how much space the rectangle covers.
Let's say your rectangle is 4 squares long and 3 squares wide:
| Row | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 1 | □ | □ | □ | □ |
| 2 | □ | □ | □ | □ |
| 3 | □ | □ | □ | □ |
Counting all the squares gives us 12 squares total. This is the area.
Or, we can multiply: 4 × 3 = 12. So, the area is 12 square units.
Here's another example: a garden that is 6 metres long and 5 metres wide.
- Length = 6 metres
- Width = 5 metres
- Area = 6 × 5 = 30 square metres
Try it as a mini adventure
Imagine you're a museum explorer! You've found a clue that leads you to a room with a large rectangular floor.
Clue 1: The floor is 8 squares long and 4 squares wide. How many square tiles are there in total?
Answer: 8 × 4 = 32 square tiles
Clue 2: There's a smaller rectangular display case in the room. It's 3 squares long and 2 squares wide. How many square tiles does it cover?
Answer: 3 × 2 = 6 square tiles
Clue 3: The room has a square rug that covers 9 square tiles. What are the possible dimensions of the rug?
Answer: 3 × 3 = 9 square tiles (or 1 × 9 = 9, but 1 square wide is not practical)
Final challenge: You need to cover the whole floor with tiles that are 1 square metre each. The floor is 10 metres long and 6 metres wide. How many tiles do you need?
Answer: 10 × 6 = 60 square tiles
Common mistakes
- Mistake: Thinking area is just adding the length and width together.
Why it happens: Children might confuse area with perimeter.
Fix: Remember area means "space inside" so we multiply, not add. - Mistake: Forgetting to include the unit when writing the answer.
Why it happens: Kids focus on the number and forget to write "square units".
Fix: Always add "square units" or "square metres" or "square feet" after the number. - Mistake: Counting the edges instead of the inside squares.
Why it happens: It's easy to count around the shape instead of inside it.
Fix: Use a finger to trace the inside of the shape and count carefully.
Parent and carer guide
Help your child by:
- Using everyday objects like books or toys to make rectangles and find their area
- Playing a game where you measure different rectangles and compare their areas
- Using a grid paper to draw rectangles and count squares
- Looking for rectangles around the house and asking "How many square units fit inside?"
- Encouraging them to explain how they found the area
Remember: It's okay if they make mistakes. They're learning! Ask questions like "How did you figure that out?" or "Can you show me how you counted?"
Practice questions
- What is the area of a rectangle that is 5 squares long and 3 squares wide?
- A garden is 7 metres long and 4 metres wide. What is its area?
- How many square tiles are needed to cover a floor that is 6 metres long and 5 metres wide?
- A rectangle has an area of 24 square units. If the length is 6 units, what is the width?
- What is the area of a rectangle that is 10 squares long and 2 squares wide?
Answers:
- 5 × 3 = 15 square units
- 7 × 4 = 28 square metres
- 6 × 5 = 30 square tiles
- 24 ÷ 6 = 4 units wide
- 10 × 2 = 20 square units
FAQ
What is area?
Area is the amount of space inside a shape. It tells us how much surface a shape covers.
How do I find the area of a rectangle?
You can either count the squares inside the rectangle or multiply the length by the width.
What units do I use for area?
Area is measured in square units, like square centimetres (cm²) or square metres (m²).
Can I find the area of any shape?
Yes, but we usually start with rectangles. Other shapes need different methods.
Why is area useful?
Area helps us know how much space we have for things like gardens, rooms, or art projects. It's useful in real life and in museums!