Fairground maths quest: area

Quick answer

You can find the area of a fairground ride, garden, or map 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 simple shapes and spaces using squares, counting, and multiplication.

• You can count squares to find the area of a shape
• You can multiply length by width to find the area of rectangles
• You can use area to solve fairground problems like how much space a ride takes up
• You can imagine and draw shapes to show your area work

Why this matters

Area helps you understand how much space something takes up. In a fairground, knowing area helps you plan where to put rides, how many tickets to sell, and how much space you need for a new playground. It's useful in cooking (how much space a cake pan takes), gardening (how much grass you need), and building (how much paint you need).

How it works

Area is the amount of space inside a shape. You can find it in two main ways:

1. By counting small squares inside the shape
2. By multiplying the length by the width (for rectangles)

Think of area like covering a floor with tiles. If each tile is 1 square unit, you count how many tiles fit inside the shape to find the area.

Examples you can see

Let's imagine you are planning a new fairground ride. You have a rectangular space that is 4 metres long and 3 metres wide.

You need 12 square metres of space for your ride.

Imagine you have a garden that is 6 metres long and 5 metres wide. To find the area:

• Length = 6 metres
• Width = 5 metres
• Area = 6 × 5 = 30 square metres

Your garden is 30 square metres.

Now let's look at a square ride that is 4 metres on each side:

• Length = 4 metres
• Width = 4 metres
• Area = 4 × 4 = 16 square metres

This square ride takes up 16 square metres of space.

Try it as a mini adventure

Imagine you are a fairground designer. Your job is to plan a new playground area. You have a map of the fairground with squares that are 1 metre by 1 metre.

First, you need to find the area of a new carousel ride that is 5 squares long and 3 squares wide:

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

Next, you need to find the area of a small ice cream stand that is 2 squares long and 2 squares wide:

• Length = 2 squares
• Width = 2 squares
• Area = 2 × 2 = 4 square units

Then, you want to find the area of a long bench that is 6 squares long and 1 square wide:

• Length = 6 squares
• Width = 1 square
• Area = 6 × 1 = 6 square units

Finally, you want to check if your new playground is big enough for a 10-square metre space. You have a rectangle that is 2 squares long and 5 squares wide:

• Length = 2 squares
• Width = 5 squares
• Area = 2 × 5 = 10 square units

Your new playground area is exactly 10 square units — perfect!

Common mistakes

• Mistake: Forgetting to multiply length and width to find area
  Why it happens: Thinking that area is just adding the length and width together
  Fix: Remember that area = length × width. You can check by drawing a rectangle and counting squares inside it.
• Mistake: Counting the edges instead of the inside space
  Why it happens: Looking at the outline of a shape instead of the inside
  Fix: Focus on the inside of the shape and count only the space inside the lines
• Mistake: Mixing up units of measurement
  Why it happens: Saying area is 10 metres instead of 10 square metres
  Fix: Always remember to say "square units" when talking about area
• Mistake: Using the wrong shape for area calculation
  Why it happens: Trying to multiply length and width for a triangle
  Fix: For rectangles, multiply length by width. For other shapes, use different methods

Parent and carer guide

Help your child learn area by:

• Using everyday objects like tiles, books, or floor space to show area
• Counting squares on grid paper or drawing rectangles
• Measuring real objects and calculating their area
• Playing fairground games where they need to find spaces
• Using kitchen tiles or garden spaces to explore area

Watch for:

• Confusion between perimeter and area
• Using the wrong units (metres vs square metres)
• Forgetting to multiply when using the formula

Encourage your child to draw rectangles and count squares to make area clear. Ask questions like "How many squares fit inside this shape?" or "What is the length and width?"

Practice questions

1. Find the area of a rectangle that is 4 squares long and 3 squares wide.
2. A garden is 7 squares long and 2 squares wide. What is its area?
3. A square playground has sides of 5 squares. What is its area?
4. A ride is 6 squares long and 4 squares wide. What is its area?
5. A small map is 3 squares long and 3 squares wide. What is its area?

Answers:

1. 4 × 3 = 12 square units
2. 7 × 2 = 14 square units
3. 5 × 5 = 25 square units
4. 6 × 4 = 24 square units
5. 3 × 3 = 9 square units

FAQ

What is area?

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

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.

Why do we use square units?

We use square units because area measures a space that has length and width. One square unit is a square with sides of 1 unit each.

Can I find area by counting squares?

Yes! If a shape fits exactly 12 squares, then its area is 12 square units. This works for any shape you can draw on a grid.

What if the shape is not a rectangle?

For rectangles, we use multiplication. For other shapes, we can still count squares or use special methods. But rectangles are the easiest to measure with length and width.