Area and Perimeter

The area of a shape is a measure of how much surface that shape uses. It is measured in squares, for convenience, as these tessellate and are the same width as length. The standard unit of measure for the area is the the metre squared.

The perimeter of a shape is the distance around its edge. It is a length and is measured in metres. You calculate the perimeter by ADDING up all the sides and adding them together. The perimeter of a circle is called the circumference.

Calculate the area and perimeter of various shapes

Calculate the area and perimeter of shapes such compound rectilinear shapes and circles including partial circles or sectors to help with GCSE mathematics.

Calculate the area and perimeter of shapes such compound rectilinear shapes and circles including partial circles or sectors.

Find the area of rectilinear shapes

Find the area of compound shapes.  You will need to use addition and subtraction to calculate the lengths of missing sides.  Then, you will need to use multiplication to calculate the areas.

Find the area of compound shapes. You will need to use addition and subtraction to calculate the lengths of missing sides. Then, you will need to use multiplication to calculate the areas.

Find the perimeter by counting squares

Find the perimeter of various shapes by counting marked squares.  Be careful to remember where you began on your journey around each shape. Designed for those who find perimeter a little more difficult to understand so that they can pass their GCSE maths exam.

Find the perimeter of various shapes by counting marked squares. Be careful to remember where you began on your journey around each shape.

Communicating mathematically

Follow worked examples of how to calculate the area of shapes in an attempt to demonstrate the importance of setting out work in a logical manner in order to achieve success in the GCSE Maths exam.

Follow worked examples of how to calculate the area of shapes in an attempt to demonstrate the importance of setting out work in a logical manner.

 

 

 

 

Area of a circle outside an inscribed triangle

A challenging problem to find the area of a circle outside an inscribed triangle.  This is a grade 7, 8 or 9 type question for GCSE mathematics

A challenging problem to find the area of a circle outside an inscribed triangle.

A difficult problem on area

A challenging problem involving areas of circles and sectors as well as some trigonometry for GCSE maths

A challenging problem involving areas of circles and sectors as well as some trigonometry.

Co-ordinates and equations of graphs to find the area

Find the equations of lines to determine the diameter of a circle.  There may be some use of simultaneous equations as well.

Find the equations of lines to determine the diameter of a circle. There may be some use of simultaneous equations as well.

Area of a circle outside a triangle

Find the area of a circle and then use trigonometry to find the area of a triangle to practice circle theorems, trigonometry and area for GCSE maths.

Find the area of a circle and then use trigonometry to find the area of a triangle.

 

 

 

 

Find the equation of a line to calculate the area of a rectangle

Find the equation of a straight line, given two points to then calculate the area of a rectangle.

Find the equation of a straight line, given two points to then calculate the area of a rectangle.

Find the area of shapes using squares

Find the area and perimeter of compound shapes using squares to help you to pass your GCSE Maths exam.

Find the area and perimeter of compound shapes using squares to help.

Rectangles and parallelograms

Find the area of rectangles and parallelograms to help you to pass your GCSE maths exam

Find the area of rectangles and parallelograms.

Video about Rectangles and Parallelograms

A video detailing how to find the area of rectangles and parallelograms to help you to pass your GCSE maths exam.

A video about going through the sheet on the left.

 

 

 

 

Video to calculate the area of a sector

A video on calculating the area of a sector and how to find the angle at the centre of the sector.

A video on calculating the area of a sector and how to find the angle at the centre of the sector.

Area of shapes, forming expressions and scale

Some questions from less challenging to more challenging about the area of various shapes including triangles, circles, hexagons and trapeziums.  Also some work on forming expressions and scale.

Some questions from less challenging to more challenging about the area of various shapes including triangles, circles, hexagons and trapeziums. Also some work on forming expressions and scale.

Video about calculating the area of a triangle

Video going through the method for working out the area of a triangle to help you to pass your GCSE exam in mathematics

Video going through the method for working out the area of a triangle.

Difficult work on straight line graphs and area of triangles

Using the equation of a straight line graph, can you calculate the area of a triangle?  If you can, then you will be well on your way to passing your GCSE maths exam.

Using the equation of a straight line graph, can you calculate the area of a triangle?

 

 

 

 

Video of how to calculate the area and perimeter using boxes

Video showing how to find the area of rectangles and parallelograms.

PowerPoint presentation showing how to set out work

Finding the perimeter of a shape using algebra.

Find the area of shapes using squares as support

Find the area of a shape using squares to support your understanding.

Find the area of a shape using squares to support your understanding.

Find the area of more challenging compound shapes

Find the area of compound shapes including a sector.

Find the area of compound shapes including a sector.

 

 

 

 

Area of a compound shape

A challenging problem to find the area a compound shape including sectors.

A challenging problem to find the area a compound shape including sectors.

Area of a compound shape

A challenging problem to find the area a compound shape including sectors.

A challenging problem to find the area a compound shape including sectors.

Area of a compound shape

A challenging problem to find the area of a compound shape for students of GCSE maths

A challenging problem to find the area of a compound shape.

Area of Trapeziums, triangles and rectangles

Find the area of rectangles, triangles and trapeziums.

Find the area of rectangles, triangles and trapeziums.

 

 

 

 

Find the area of irregular shapes

Find the lengths of missing sides and use this information to find the area of irregular shapes.

Find the lengths of missing sides and use this information to find the area of irregular shapes.

Worksheets Collection on Area

A collection of various worksheets looking at area of irregular shapes, surface area of cuboid using numerical dimensions and algebraic ones.  Also linking area to reflection to calculate the area of a reflection, solving problems to do with area.  Visualising area under a hidden part of a grid. Finding the area by counting squares.  Investigating Pi and using a gridded perimeter to calculate the area of irregular shapes.

A collection of various worksheets looking at area of irregular shapes, surface area of cuboid using numerical dimensions and algebraic ones. Also linking area to reflection to calculate the area of a reflection, solving problems to do with area. Visualising area under a hidden part of a grid. Finding the area by counting squares. Investigating Pi and using a gridded perimeter to calculate the area of irregular shapes.

Area of irregular quadrillaterals using trigonometry

Find the area of rectangles and parallelograms to succeed with GCSE maths.

Find the area of rectangles and parallelograms.

 

 

 

 

 

 

 

Communicating clearly about area

Communicating clearly how to find the area of a rectilinear compound shape to gain success in GCSE maths

Communicating clearly how to find the area of a rectilinear compound shape.

 

 

 

 

 

 

 

 

 

 

Using triangles, find the area of various shapes

Split compound shapes into triangles to find their area.  You may need to use trigonometry to do this.

Split compound shapes into triangles to find their area. You may need to use trigonometry to do this.

Help finding the missing lengths

A couple of partial examples are given about how to find the missing lengths and then there is a question to complete as well.

A couple of partial examples are given about how to find the missing lengths and then there is a question to complete as well.

Find the perimeter of various shapes

Find the perimeter of various shapes using adding and subtracting.  Will involve being able to read diagrams similar to the one shown above.

Find the perimeter of various shapes using adding and subtracting. Will involve being able to read diagrams similar to the one shown above.

Video about calculating area and perimeter.

This is a video about calculating the area and the perimeter of with particular emphasis on how to lay out your work to make it clearer for your audience.

This is a video about calculating the area and the perimeter of with particular emphasis on how to lay out your work to make it clearer for your audience.

 

 

 

 

The trapezium rule

An introduction to the trapezium rule for working out the area under a graph.

An introduction to the trapezium rule for working out the area under a graph.

Use a ruler and addition to find the perimeter

Use a ruler to measure the lengths of the sides and then add them together to find the perimeter.

Use a ruler to measure the lengths of the sides and then add them together to find the perimeter.

 

 

 

 

Information about area of different shapes

Information sheets useful for a wall display on area of different shapes for GCSE mathematics.

Information sheets useful for a wall display on area of different shapes for GCSE mathematics.