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MathsMaths104 views·Updated 14 Aug 2026·5 pages

Mastering Quadrilateral Area Calculations - Study Guide

Quadrilaterals are everywhere around you - from your phone screen...

1
of 5
 Finding Area of Quadrilaterals Revision Note – page 1

What Are Quadrilaterals?

Every quadrilateral is simply a shape with four sides, but they all share some important features. You'll find that all quadrilaterals have exactly 4 sides and their internal angles always add up to 360°.

Most quadrilaterals contain parallel lines - these are lines that never meet, like railway tracks. Squares and rectangles are special types of quadrilaterals because they have 4 right angles (90° each).

Quick Check: Look around your classroom right now - can you spot at least three quadrilaterals? Your desk, the whiteboard, and even the windows are probably quadrilaterals!

These shapes aren't just for maths lessons - architects, designers, and engineers use quadrilaterals to create everything from buildings to video games.

2
of 5
 Finding Area of Quadrilaterals Revision Note – page 2

Calculating Area - Example 1

Working out the area of rectangles and squares is straightforward once you know the magic formula. The formula is simply base × height (or length × width).

Let's tackle this step by step: if you have a rectangle that's 4cm wide and 10cm tall, you multiply 4 × 10 = 40. Therefore, the area is 40cm².

Top Tip: Always remember to include cm² (square centimetres) in your answer - it shows you're measuring area, not just length!

This formula works for any rectangle or square, making it one of the most useful maths skills you'll learn.

3
of 5
 Finding Area of Quadrilaterals Revision Note – page 3

Calculating Area - Example 2

Here's another example to build your confidence with the base × height formula. When you see a rectangle measuring 7cm by 11cm, you simply multiply these numbers together.

Following our trusty formula: 7 × 11 = 77, which means the area is 77cm². Notice how the process stays exactly the same regardless of the numbers involved.

Remember: It doesn't matter which measurement you call the base and which you call the height - multiplication works the same way round!

Practice with different sized rectangles will make this calculation feel completely natural.

4
of 5
 Finding Area of Quadrilaterals Revision Note – page 4

Calculating Area - Example 3

Let's try one more example to cement your understanding. This rectangle measures 12cm by 8cm, so we apply our reliable formula once again.

Using base × height: 12 × 8 = 96, giving us an area of 96cm². You're probably noticing how straightforward this becomes with practice.

Confidence Booster: You've now mastered the area formula for rectangles and squares - this skill will help you in geometry, design technology, and even real-life situations like measuring rooms!

The key is remembering that formula and always including the correct units in your final answer.

5
of 5
 Finding Area of Quadrilaterals Revision Note – page 5

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MathsMaths104 views·Updated 14 Aug 2026·5 pages

Mastering Quadrilateral Area Calculations - Study Guide

Quadrilaterals are everywhere around you - from your phone screen to football pitches! Understanding these four-sided shapes and how to calculate their areas is a fundamental maths skill you'll use constantly.

1
of 5
 Finding Area of Quadrilaterals Revision Note – page 1

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

What Are Quadrilaterals?

Every quadrilateral is simply a shape with four sides, but they all share some important features. You'll find that all quadrilaterals have exactly 4 sides and their internal angles always add up to 360°.

Most quadrilaterals contain parallel lines - these are lines that never meet, like railway tracks. Squares and rectangles are special types of quadrilaterals because they have 4 right angles (90° each).

Quick Check: Look around your classroom right now - can you spot at least three quadrilaterals? Your desk, the whiteboard, and even the windows are probably quadrilaterals!

These shapes aren't just for maths lessons - architects, designers, and engineers use quadrilaterals to create everything from buildings to video games.

2
of 5
 Finding Area of Quadrilaterals Revision Note – page 2

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Calculating Area - Example 1

Working out the area of rectangles and squares is straightforward once you know the magic formula. The formula is simply base × height (or length × width).

Let's tackle this step by step: if you have a rectangle that's 4cm wide and 10cm tall, you multiply 4 × 10 = 40. Therefore, the area is 40cm².

Top Tip: Always remember to include cm² (square centimetres) in your answer - it shows you're measuring area, not just length!

This formula works for any rectangle or square, making it one of the most useful maths skills you'll learn.

3
of 5
 Finding Area of Quadrilaterals Revision Note – page 3

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Calculating Area - Example 2

Here's another example to build your confidence with the base × height formula. When you see a rectangle measuring 7cm by 11cm, you simply multiply these numbers together.

Following our trusty formula: 7 × 11 = 77, which means the area is 77cm². Notice how the process stays exactly the same regardless of the numbers involved.

Remember: It doesn't matter which measurement you call the base and which you call the height - multiplication works the same way round!

Practice with different sized rectangles will make this calculation feel completely natural.

4
of 5
 Finding Area of Quadrilaterals Revision Note – page 4

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  • Access to all documents
  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Calculating Area - Example 3

Let's try one more example to cement your understanding. This rectangle measures 12cm by 8cm, so we apply our reliable formula once again.

Using base × height: 12 × 8 = 96, giving us an area of 96cm². You're probably noticing how straightforward this becomes with practice.

Confidence Booster: You've now mastered the area formula for rectangles and squares - this skill will help you in geometry, design technology, and even real-life situations like measuring rooms!

The key is remembering that formula and always including the correct units in your final answer.

5
of 5
 Finding Area of Quadrilaterals Revision Note – page 5

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

We thought you’d never ask...

Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.

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Explore the fundamentals of trigonometry, including the tangent, sine, and cosine functions. This summary covers key concepts such as SOH CAH TOA, trigonometric ratios, and methods for finding angles and sides in right triangles. Ideal for students preparing for exams or needing a quick reference.

91,77159
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Students love us — and so will you.

4.6/5App Store
4.7/5Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan SiOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha KlichAndroid user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

AnnaiOS user