Source: https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-1-area

[Revision notes](https://senecalearning.com/en-gb/revision-notes.md) › [Primary](https://senecalearning.com/en-gb/revision-notes/primary.md) › [Maths](https://senecalearning.com/en-gb/revision-notes/primary/maths.md) › [Maths: Year 5 & 6 National Curriculum](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum.md) › Area

# Area

Maths: Year 5 & 6 National Curriculum, topic 8.3.1

## Area

The area of a shape is the space enclosed within it. You need to be able to calculate the area of some 2D shapes.

### Rectangle

![Rectangle](https://image-v2.cdn.app.senecalearning.com/2018-08/b42ef8a9-ed9b-4325-a388-15e8f9658099/Area%202.jpg)

- The area of a rectangle is equal to length × width.

### Parallelogram

![Parallelogram](https://image-v2.cdn.app.senecalearning.com/2018-08/4da7ee98-37c5-4c99-ba48-36286df6a593/Area%203.jpg)

- The area of a parallelogram is equal to base × height.
 - The 'height' isn't actually a side length - it is the vertical distance from top edge to bottom edge.

### Triangle

![Triangle](https://image-v2.cdn.app.senecalearning.com/2019-08/68787f71-b20c-47da-b0ea-e7cac640e0e8/Slides%20(15).png)

- The area of a triangle is equal to $$\frac{1}{2}$$ × base × height.

### Link between area and perimeter

![Link between area and perimeter](https://image-v2.cdn.app.senecalearning.com/2019-08/3915c4a5-a893-4f32-aa24-67b5b064c5b2/Slides%20(19).png)

- Different shapes can have the same area and have different perimeters.

### Area and perimeter example

![Area and perimeter example](https://image-v2.cdn.app.senecalearning.com/2019-08/3915c4a5-a893-4f32-aa24-67b5b064c5b2/Slides%20(19).png)

- You will see that the areas in these two rectangles are the same.
- But the perimeters are different.

## Test yourself on Area

- What is the area of the rectangle below?
- What is the area of the parallelogram below?
- Which of the following equations for calculating the area of 2D shapes are correct?
- What is the area of this triangle?
- What is the area of this triangle?

[Practise this topic for free](https://app.senecalearning.com/classroom/course/cc410aae-4be5-4c7a-9492-ee552574ade2/section/5a267bff-864d-458c-83fe-e574a6692e3e/session)

- Previous topic: [8.2.1 Conversion Between Miles & Kilometres](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-2-1-conversion-between-miles-and-kilometres.md)
- Next topic: [8.3.2 Volume](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-2-volume.md)

## Maths: Year 5 & 6 National Curriculum contents

### 1 Year 5 - Number
- 1.1 Number & Place Value
  - [1.1.1 The Value of Digits to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-1-the-value-of-digits-to-millions.md)
  - [1.1.2 Smallest & Biggest Numbers to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-2-smallest-and-biggest-numbers-to-millions.md)
  - [1.1.3 Ordering Numbers to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-3-ordering-numbers-to-millions.md)
  - [1.1.4 Counting in Powers of 10](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-4-counting-in-powers-of-10.md)
  - [1.1.5 Counting in Negative Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-5-counting-in-negative-numbers.md)
  - [1.1.6 Rounding Numbers up to 1,000,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-6-rounding-numbers-up-to-1000000.md)
  - [1.1.7 Reading Roman Numerals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-7-reading-roman-numerals.md)
- 1.2 Addition & Subtraction
  - [1.2.1 Written Methods for Adding Large Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-1-written-methods-for-adding-large-numbers.md)
  - [1.2.2 Written Methods for Subtracting Large Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-2-written-methods-for-subtracting-large-numbers.md)
  - [1.2.3 Mental Addition & Subtraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-3-mental-addition-and-subtraction.md)
  - [1.2.4 Rounding to Check Your Answer](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-4-rounding-to-check-your-answer.md)
- 1.3 Multiplication & Division
  - [1.3.1 Multiples](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-1-multiples.md)
  - [1.3.2 Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-2-factors.md)
  - [1.3.3 Prime Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-3-prime-numbers.md)
  - [1.3.4 Prime Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-4-prime-factors.md)
  - [1.3.5 Composite Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-5-composite-numbers.md)
  - [1.3.6 Factor Trees](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-6-factor-trees.md)
  - [1.3.7 Multiplication by a 1 Digit Number](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-7-multiplication-by-a-1-digit-number.md)
  - [1.3.8 Long Multiplication Using Column Method](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-8-long-multiplication-using-column-method.md)
  - [1.3.9 Times Tables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-9-times-tables.md)
  - [1.3.10 Division](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-10-division.md)
  - [1.3.11 Multiplying & Dividing by 10, 100 & 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-11-multiplying-and-dividing-by-10-100-and-1000.md)
  - [1.3.12 Square & Cube Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-12-square-and-cube-numbers.md)
- 1.4 Fractions & Decimals
  - [1.4.1 Compare & Order Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-1-compare-and-order-fractions.md)
  - [1.4.2 Identifying Equivalent Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-2-identifying-equivalent-fractions.md)
  - [1.4.3 Add & Subtract Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-3-add-and-subtract-fractions.md)
  - [1.4.4 Mixed Numbers & Improper Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-4-mixed-numbers-and-improper-fractions.md)
  - [1.4.5 Multiplying Fractions by Whole Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-5-multiplying-fractions-by-whole-numbers.md)
  - [1.4.6 Converting Between Decimals & Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-6-converting-between-decimals-and-fractions.md)
  - [1.4.7 Rounding Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-7-rounding-decimals.md)
  - [1.4.8 Ordering Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-8-ordering-decimals.md)

### 2 Year 5 - Measurement
- 2.1 Measures
  - [2.1.1 Metric Measurements](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-1-1-metric-measurements.md)
  - [2.1.2 Imperial Measurements](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-1-2-imperial-measurements.md)
- 2.2 Perimeter & Area
  - [2.2.1 Perimeter](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-2-1-perimeter.md)
  - [2.2.2 Area](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-2-2-area.md)
- 2.3 Time
  - [2.3.1 Units of Time](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-3-1-units-of-time.md)

### 3 Year 5 - Geometry
- 3.1 Properties of 3D Shapes
  - [3.1.1 Types of 3D Shapes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-1-1-types-of-3d-shapes.md)
  - [3.1.2 Faces, Edges & Vertices](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-1-2-faces-edges-and-vertices.md)
- 3.2 Properties of 2D Shapes
  - [3.2.1 Polygons](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-2-1-polygons.md)
- 3.3 Angles
  - [3.3.1 Angles in Degrees](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-3-1-angles-in-degrees.md)
  - [3.3.2 Types of Angle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-3-2-types-of-angle.md)
  - [3.3.3 Finding Missing Angles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-3-3-finding-missing-angles.md)
- 3.4 Position & Direction
  - [3.4.1 Reflection & Translation](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-4-1-reflection-and-translation.md)

### 4 Year 5 - Statistics
- 4.1 Graphs
  - [4.1.1 Line Graphs](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/4-1-1-line-graphs.md)
  - [4.1.2 Tables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/4-1-2-tables.md)
  - [4.1.3 Timetables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/4-1-3-timetables.md)

### 5 Year 6 - Number
- 5.1 Number & Place Value
  - [5.1.1 The Value of Digits to Ten Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-1-the-value-of-digits-to-ten-millions.md)
  - [5.1.2 Ordering Numbers to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-2-ordering-numbers-to-millions.md)
  - [5.1.3 Rounding](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-3-rounding.md)
  - [5.1.4 Negative Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-4-negative-numbers.md)
- 5.2 Multiplication & Division
  - [5.2.1 Multiplication by a 2 Digit Number](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-1-multiplication-by-a-2-digit-number.md)
  - [5.2.2 Division](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-2-division.md)
  - [5.2.3 Multiples](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-3-multiples.md)
  - [5.2.4 Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-4-factors.md)
  - [5.2.5 Primes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-5-primes.md)
- 5.3 Mental Maths
  - [5.3.1 Multiplying & Dividing by 10, 100 & 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-1-multiplying-and-dividing-by-10-100-and-1000.md)
  - [5.3.2 Addition & Subtraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-2-addition-and-subtraction.md)
  - [5.3.3 Adding & Subtracting 10, 100 & 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-3-adding-and-subtracting-10-100-and-1000.md)
  - [5.3.4 Multiplication & Division](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-4-multiplication-and-division.md)
- 5.4 Order of Operations
  - [5.4.1 BIDMAS](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-4-1-bidmas.md)
- 5.5 Problem Solving
  - [5.5.1 Addition & Subtraction Multi-step Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-5-1-addition-and-subtraction-multi-step-problems.md)
  - [5.5.2 Problem Solving with Proportion](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-5-2-problem-solving-with-proportion.md)
- 5.6 Fractions & Decimals
  - [5.6.1 Simplifying Fractions Using Equivalents](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-1-simplifying-fractions-using-equivalents.md)
  - [5.6.2 Ordering Different Types of Fraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-2-ordering-different-types-of-fraction.md)
  - [5.6.3 Adding & Subtracting Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-3-adding-and-subtracting-fractions.md)
  - [5.6.4 Adding & Subtracting Mixed Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-4-adding-and-subtracting-mixed-numbers.md)
  - [5.6.5 Multiplying Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-5-multiplying-fractions.md)
  - [5.6.6 Dividing Fractions by Whole Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-6-dividing-fractions-by-whole-numbers.md)
  - [5.6.7 Converting Between Decimals & Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-7-converting-between-decimals-and-fractions.md)
  - [5.6.8 Dividing Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-8-dividing-decimals.md)

### 6 Year 6 - Ratio & Proportion
- 6.1 Ratio
  - [6.1.1 Using Ratios](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-1-1-using-ratios.md)
  - [6.1.2 Simplifying Ratios](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-1-2-simplifying-ratios.md)
- 6.2 Percentages
  - [6.2.1 Calculating Percentages](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-2-1-calculating-percentages.md)
- 6.3 Scale
  - [6.3.1 Scale of 2D Shapes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-3-1-scale-of-2d-shapes.md)

### 7 Year 6 - Algebra
- 7.1 Sequences
  - [7.1.1 Describing Sequences](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-1-1-describing-sequences.md)
  - [7.1.2 Finding Gaps in Sequences](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-1-2-finding-gaps-in-sequences.md)
- 7.2 Missing Number Problems
  - [7.2.1 Missing Number Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-2-1-missing-number-problems.md)
- 7.3 Equations
  - [7.3.1 Balancing Equations](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-3-1-balancing-equations.md)
  - [7.3.2 Combining Two Variables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-3-2-combining-two-variables.md)

### 8 Year 6 - Measurement
- 8.1 Problem Solving
  - [8.1.1 Problem Solving with Measures](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-1-1-problem-solving-with-measures.md)
- 8.2 Unit Conversion
  - [8.2.1 Conversion Between Miles & Kilometres](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-2-1-conversion-between-miles-and-kilometres.md)
- 8.3 Perimeter, Area & Volume
  - [8.3.1 Area](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-1-area.md)
  - [8.3.2 Volume](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-2-volume.md)
  - [8.3.3 Nets](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-3-nets.md)
  - [8.3.4 Faces, Edges & Vertices](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-4-faces-edges-and-vertices.md)
- 8.4 Angles
  - [8.4.1 Types of Angle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-1-types-of-angle.md)
  - [8.4.2 Finding Missing Angles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-2-finding-missing-angles.md)
  - [8.4.3 Finding Missing Angles in Triangles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-3-finding-missing-angles-in-triangles.md)
  - [8.4.4 Vertically Opposite Angles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-4-vertically-opposite-angles.md)
- 8.5 Circles
  - [8.5.1 Parts of a Circle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-5-1-parts-of-a-circle.md)
- 8.6 Coordinate Grids
  - [8.6.1 Positions on Coordinate Grids](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-6-1-positions-on-coordinate-grids.md)
  - [8.6.2 Reflection & Translation](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-6-2-reflection-and-translation.md)

### 9 Year 6 - Statistics
- 9.1 Displaying Data
  - [9.1.1 Pie Charts](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/9-1-1-pie-charts.md)
  - [9.1.2 Line Graphs](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/9-1-2-line-graphs.md)
- 9.2 Averages
  - [9.2.1 Mean](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/9-2-1-mean.md)