Time-travel maths quest: area
A story-led junior maths adventure using clocks, calendars and ancient numbers 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 using a formula like length × width.
Learning outcome
By the end of this page, you will understand how to find the area of rectangles and squares by counting squares or using multiplication.
- You can count squares to find area
- You can use the formula length × width to find area
- You can compare areas of different shapes
- You can solve real-life problems involving area
Why this matters
Knowing how to find area helps you in many everyday situations! When you want to cover a floor with tiles, paint a wall, or plan a garden, you need to know how much space you have. It’s also useful for games, building, and even time-travel adventures!
How it works
Area is the amount of space inside a shape. For rectangles and squares, you can find the area by:
- Counting how many square units fit inside the shape
- Multiplying the length by the width
Let’s explore this with a fun time-travel story!
Examples you can see
Imagine you are a time-traveller and you land in Ancient Egypt. You find a map of a garden that is 5 squares wide and 3 squares long. How many squares of grass are in the garden?
| Length | Width | Area |
|---|---|---|
| 5 squares | 3 squares | 15 squares |
So the garden has an area of 15 square units. You can also write this as 5 × 3 = 15.
Here’s another example: You are in a medieval castle and you want to cover a square room with tiles. The room is 4 squares on each side.
| Length | Width | Area |
|---|---|---|
| 4 squares | 4 squares | 16 squares |
So the room has an area of 16 square units. This is the same as 4 × 4 = 16.
Try it as a mini adventure
Join a time-travel quest to find the lost treasure of the Ancient Clock Tower!
1st time: You find a clock face that is 6 squares wide and 4 squares long. What is its area?
2nd time: You discover a garden that is 5 squares wide and 3 squares long. What is its area?
3rd time: You see a square courtyard that is 7 squares on each side. What is its area?
4th time: You need to find the total area of the clock face and the garden. What is the sum?
5th time: You find the treasure if the total area is 43 square units. Did you find it?
Common mistakes
- Mistake: Forgetting to count all the squares when measuring area.
- Why it happens: It’s easy to skip a row or column when counting.
- Fix: Use a finger or pen to trace each row and column to make sure you count every square.
- Mistake: Thinking that area is the distance around the shape, not the space inside.
- Why it happens: Area and perimeter are different concepts and can be mixed up.
- Fix: Remember: area = inside space, perimeter = around the edge.
- Mistake: Using the wrong formula for area.
- Why it happens: Not knowing when to use multiplication and when to count.
- Fix: For rectangles, multiply length by width. For small shapes, count squares.
Parent and carer guide
Help your child explore area with these tips:
- Use grid paper to draw shapes and count squares together.
- Measure real objects like books, tables, or floors using square tiles or paper.
- Ask questions like: "How many square tiles would fit in this room?" or "Which shape has more space inside?"
- Use everyday examples like cooking (how much space does a pizza cover?) or garden planning.
- Encourage your child to explain how they found the area, so you can see their thinking.
Remember: Don’t worry if they make a mistake. It’s part of learning!
Practice questions
- What is the area of a rectangle that is 6 squares wide and 4 squares long?
- What is the area of a square that is 5 squares on each side?
- What is the area of a rectangle that is 3 squares wide and 7 squares long?
- What is the area of a square that is 8 squares on each side?
- What is the area of a rectangle that is 9 squares wide and 2 squares long?
Answers:
- 24 square units (6 × 4 = 24)
- 25 square units (5 × 5 = 25)
- 21 square units (3 × 7 = 21)
- 64 square units (8 × 8 = 64)
- 18 square units (9 × 2 = 18)
FAQ
What is area?
Area is the amount of space inside a shape. It’s measured in square units like square centimetres or square metres.
How do I find the area of a square?
For a square, multiply the length of one side by itself. For example, a square with sides of 4 units has an area of 4 × 4 = 16 square units.
How do I find the area of a rectangle?
Multiply the length by the width. For example, a rectangle that is 5 units long and 3 units wide has an area of 5 × 3 = 15 square units.
Can I use any shape to measure area?
You can find the area of any shape, but rectangles and squares are the easiest to measure. Other shapes might need more complex methods.
Why is area important?
Knowing area helps you plan, build, and solve problems in real life, like covering a floor with tiles or designing a garden.