Mermaid maths quest: area
A story-led junior maths adventure using pearl patterns, shell money and underwater symmetry 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 understand how to find the area of rectangles and squares using square units and multiplication.
- You can count squares to find the area of a shape
- You can multiply length and width to find the area of a rectangle
- You can compare areas of different shapes
- You can solve simple real-world problems involving area
Why this matters
Area is how much space something takes up. It's like covering your floor with tiles or finding how much grass you need to plant in your garden. When you're planning a party, designing a playground, or even building a house, you need to know area. It's used in games, art, cooking, and even underwater adventures like the Mermaid Maths Quest!
How it works
Area is measured in square units. A square unit is a square that is 1 unit long and 1 unit wide. To find the area of a shape:
- Count how many square units fit inside the shape
- Or, for rectangles, multiply the length by the width
- Make sure your answer has square units (like square centimetres or square metres)
Examples you can see
Imagine you are a mermaid exploring the ocean floor. You find a beautiful shell garden that is 4 metres long and 3 metres wide.
| Shape | Length | Width | Area (by counting) | Area (by multiplying) |
|---|---|---|---|---|
| Shell garden | 4 metres | 3 metres | 12 square metres | 4 × 3 = 12 square metres |
| Underwater cave | 5 metres | 2 metres | 10 square metres | 5 × 2 = 10 square metres |
| Seaweed patch | 6 metres | 6 metres | 36 square metres | 6 × 6 = 36 square metres |
Notice how the seaweed patch is a square because both sides are the same length. This makes it easy to calculate the area!
Try it as a mini adventure
Join Mermaid Maya on her underwater treasure hunt! Maya needs to find a map hidden in a rectangular coral garden. The garden is 5 pearls wide and 3 pearls long. Each pearl is a square unit. How many pearls does Maya need to cover the garden?
Step 1: Count the pearls by rows
Row 1: 5 pearls
Row 2: 5 pearls
Row 3: 5 pearls
Step 2: Add them up
5 + 5 + 5 = 15 pearls
Step 3: Multiply to check
3 rows × 5 pearls per row = 15 pearls
Step 4: Write the area
The coral garden has an area of 15 square pearls!
Now, can you help Maya find the treasure in a 4 × 6 pearl garden?
Common mistakes
- Mistake: Forgetting to write square units in the answer
- Why it happens: Children focus on the numbers and forget the units
- Fix: Always add square units (like square centimetres or square metres) to your answer
- Mistake: Confusing area with perimeter
- Why it happens: Both are measurements of shapes but they mean different things
- Fix: Remember: area is inside the shape, perimeter is around the outside
- Mistake: Not using the correct multiplication for rectangles
- Why it happens: Children may try to add instead of multiply
- Fix: Count the rows and columns, then multiply them together
Parent and carer guide
Help your child learn area with these simple steps:
- Use real objects like tiles, blocks, or graph paper to count squares
- Play with a grid game where they colour in squares to make shapes
- Point out area in everyday life: "How much carpet do we need to cover this room?"
- Ask them to compare areas of different shapes
- Use measuring tools to show how area relates to real measurements
Remember: It's okay if they make mistakes. Learning from errors is part of growing!
Practice questions
- What is the area of a rectangle that is 4 metres long and 2 metres wide?
- How many square units are in a shape that is 6 units wide and 3 units long?
- Find the area of a square with sides of 5 units.
- A garden is 8 metres long and 4 metres wide. What is its area?
- What is the area of a rectangle that is 7 units long and 1 unit wide?
Answers:
- 4 × 2 = 8 square metres
- 6 × 3 = 18 square units
- 5 × 5 = 25 square units
- 8 × 4 = 32 square metres
- 7 × 1 = 7 square units
FAQ
What is area in maths?
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 rectangle?
Multiply the length by the width. For example, a rectangle that is 5 metres long and 3 metres wide has an area of 5 × 3 = 15 square metres.
Can I find the area of any shape?
You can find the area of simple shapes like rectangles and squares easily. More complex shapes might need special methods.
Why do we use square units?
Square units help us measure area because they fit together perfectly without gaps or overlaps. They make it easy to count and compare spaces.
How can I practice area at home?
Use graph paper to draw shapes, count squares, or measure your room to find its area. You can also use floor tiles or blocks to build and measure areas.