Sailing maths quest: area

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 times width for rectangles.

Learning outcome

By the end of this page, you will be able to find the area of rectangles and other shapes by counting squares or using multiplication.

• You can count squares to find area.
• You can use the formula length × width for rectangles.
• You can solve real-life problems involving area, like planning a garden or a sailing trip.
• You can explain how area helps you plan spaces and measure things.

Why this matters

Knowing how to find area helps you plan and measure things in everyday life. When you're sailing, you need to know how much space your boat has for supplies. When you're designing a garden, you need to know how much space each plant needs. When you're planning a party, you need to know how much space your guests will need. Area helps you make smart decisions about space and materials.

How it works

Area is the amount of space inside a shape. To find area:

1. Draw a shape on grid paper or use a square tile to cover it.
2. Count how many squares fit inside the shape.
3. For rectangles, multiply the length by the width to find the area.

For example, if a rectangle is 4 squares long and 3 squares wide, its area is 4 × 3 = 12 square units.

Examples you can see

Imagine you are planning a sailing trip. You need to know how much space your boat has for supplies. You can use area to find out.

Example 1: Boat cabin space

Your boat cabin is 6 metres long and 4 metres wide. To find the area:

• Length = 6 metres
• Width = 4 metres
• Area = 6 × 4 = 24 square metres

This means you have 24 square metres of space to store your gear.

Example 2: Map area

You are sailing on a map that shows 1 square centimetre = 100 square kilometres. If your sailing route covers 5 square centimetres on the map, the real area is:

• 5 × 100 = 500 square kilometres

This helps you know how far you are sailing.

Example 3: Garden area

You are planning a garden that is 8 metres long and 5 metres wide:

• Area = 8 × 5 = 40 square metres

You need enough plants to cover 40 square metres.

Try it as a mini adventure

Sailing Maths Quest: The Treasure Map

You are Captain Zoe, and you have found a treasure map! The map shows a treasure chest buried in a rectangular field. The field is 10 metres long and 7 metres wide. You need to find the area of the field to dig in the right place.

Step 1: Draw a rectangle that is 10 squares long and 7 squares wide.

Step 2: Count how many squares you have. You can do this by adding 10 + 10 + 10 + 10 + 10 + 10 + 10 = 70 squares.

Step 3: Or, use multiplication: 10 × 7 = 70 square metres.

Step 4: You can now dig in the 70 square metre area to find the treasure!

Mini challenge: If you had a second treasure map showing a square field that is 9 metres on each side, what would be the area of that field?

• Area = 9 × 9 = 81 square metres

Common mistakes

• Mistake: Forgetting to use the correct units when calculating area.
• Why it happens: Children often forget that area is measured in square units, like square metres or square centimetres.
• Fix: Always remember to add "square" to your units. For example, 5 × 3 = 15 square metres.

• Mistake: Counting the edges of a shape instead of the inside space.
• Why it happens: Children sometimes count the outline of a shape instead of the inside area.
• Fix: Use grid paper or square tiles to help you count only the inside space.

• Mistake: Thinking that area and perimeter are the same.
• Why it happens: Area and perimeter are both about shapes, but they measure different things.
• Fix: Remember that area is the inside space, and perimeter is the distance around the outside.

Parent and carer guide

As a parent or carer, you can help your child understand area by:

1. Using real objects like tiles, blocks, or grid paper to help your child count area.
2. Playing games where your child measures the area of rooms or gardens.
3. Using cooking or baking to show how area works, like measuring a pizza or cake pan.
4. Practicing with your child using multiplication facts to calculate area quickly.
5. Encouraging your child to explain how they found the area of a shape.

Remember, it's okay if your child makes mistakes. They are learning! You can help by asking questions like:

• How did you count the squares?
• What units did you use?
• Can you show me another way to find the area?

Don't worry if your child needs to use grid paper or tiles to start. These tools help them understand the concept before moving to multiplication.

Practice questions

1. What is the area of a rectangle that is 5 metres long and 3 metres wide?
2. What is the area of a square with sides of 6 metres?
3. A garden is 8 metres long and 4 metres wide. What is its area?
4. A map shows 1 square centimetre = 50 square kilometres. If a sailing route covers 3 square centimetres, what is the real area?
5. What is the area of a rectangle that is 9 metres long and 2 metres wide?

• Answer 1: 5 × 3 = 15 square metres
• Answer 2: 6 × 6 = 36 square metres
• Answer 3: 8 × 4 = 32 square metres
• Answer 4: 3 × 50 = 150 square kilometres
• Answer 5: 9 × 2 = 18 square metres

FAQ

What is area?

Area is the amount of space inside a shape. It is measured in square units like square metres or square centimetres.

How do you find the area of a rectangle?

You find the area of a rectangle by multiplying its length by its width. For example, a rectangle that is 4 metres long and 3 metres wide has an area of 4 × 3 = 12 square metres.

What is the difference between area and perimeter?

Area is the space inside a shape, while perimeter is the distance around the outside of a shape. For example, a rectangle with sides of 4 and 3 has an area of 12 square units and a perimeter of 14 units.

Why do we use square units for area?

We use square units because area measures a two-dimensional space. A square unit is a square that is 1 unit long on each side. So, if you have 10 of these squares, the area is 10 square units.

How can I practice area at home?

You can practice area by measuring rooms, drawing shapes, using grid paper, or even cooking. For example, when baking a cake, you can measure the area of the cake pan and compare it to the area of a square cake.