Dragon maths quest: area

Quick answer

Area is the amount of space inside a shape, and you can find it by counting how many square units fit inside it or by multiplying length by width.

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 count squares to find the area of a shape
• You can multiply length by width to find the area of a rectangle
• You can use your knowledge to solve puzzles about dragons' hoards and treasure maps
• You can explain how area helps us in real life, like when planning a garden or decorating a room

Why this matters

Understanding area helps you solve puzzles and problems in games, real life, and school. When you play games like Dragon Quest, you might need to know how much space a treasure chest takes up or how big a dragon's lair is. In real life, knowing area helps you plan a garden, buy carpet for your room, or share a pizza equally.

How it works

Area is how much space a shape covers. To find the area of a rectangle or square, you can:

1. Count the squares inside the shape
2. Multiply the length by the width

Let's explore both ways using our dragon adventure!

Examples you can see

Imagine you are helping a dragon collect treasure. The dragon's treasure room is a rectangle that is 5 squares long and 3 squares wide.

Method 1: Counting squares

Count all the ● symbols. There are 15 squares, so the area is 15 square units.

Method 2: Multiplying length and width

Length = 5 squares

Width = 3 squares

Area = Length × Width = 5 × 3 = 15 square units

This is the same answer! Both methods work, but multiplying is faster when you know the numbers.

Try it as a mini adventure

Join the dragon in a treasure hunt! You must find the area of the dragon's treasure room to unlock a secret chest.

5th time: The room is 4 squares wide and 6 squares long. What is the area?

6th time: The dragon's treasure map shows a garden that is 7 squares long and 2 squares wide. What is the area?

7th time: You find a square treasure box that is 5 squares on each side. What is the area?

8th time: The dragon's cave is 8 squares wide and 4 squares long. What is the area?

9th time: You find a rectangular treasure chest that is 3 squares wide and 9 squares long. What is the area?

10th time: The dragon's treasure room is 10 squares wide and 5 squares long. What is the area?

Common mistakes

• Mistake: Forgetting to write the unit (square units) when calculating area
• Why it happens: Children get excited and forget to add the units
• Fix: Always write the unit after your answer, like square units or cm²
• Mistake: Adding the length and width instead of multiplying them
• Why it happens: Confusing area with perimeter (the distance around a shape)
• Fix: Remember that area is about space inside, so you multiply, not add
• Mistake: Counting the edges of the shape instead of the inside squares
• Why it happens: Not understanding that area means inside space
• Fix: Focus on counting only the inside squares, not the edges

Parent and carer guide

Help your child by:

1. Using real objects like tiles or blocks to make shapes and count squares
2. Practicing with everyday items like a book cover or a table top
3. Encouraging them to draw shapes and count the squares
4. Reinforcing that area = length × width
5. Asking them to explain how they found the area

Remember: It's okay if they make mistakes. Mistakes help children learn!

Practice questions

1. What is the area of a rectangle that is 4 squares long and 3 squares wide?
2. What is the area of a square that is 5 squares on each side?
3. What is the area of a rectangle that is 6 squares long and 2 squares wide?
4. What is the area of a rectangle that is 8 squares long and 4 squares wide?
5. What is the area of a square that is 7 squares on each side?

Answers:

1. 4 × 3 = 12 square units
2. 7 × 7 = 49 square units
3. 6 × 2 = 12 square units
4. 8 × 4 = 32 square units
5. 7 × 7 = 49 square units

FAQ

What is area?

Area is how much space a shape covers. It's like the inside of a shape.

How do I find the area of a rectangle?

Multiply the length by the width. For example, a rectangle that is 5 squares long and 3 squares wide has an area of 5 × 3 = 15 square units.

How do I find the area of a square?

A square has equal sides, so multiply the side length by itself. For example, a square with sides of 4 squares has an area of 4 × 4 = 16 square units.

Why is area important?

Area helps us plan things like gardens, rooms, and maps. It helps us know how much space we have or need.

Can I use area in games?

Yes! In games, you might need to know how much space a treasure chest takes up or how big a dragon's lair is. Area helps you solve puzzles and plan strategies.