Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

      Perimeter and area in a contextual setting

      Lesson details

      Learning outcome

      I can apply my knowledge of perimeter and area in order to solve various contextual scenarios.

      Key learning points

      1. Knowledge of perimeter and area is useful for any space management contexts.
      2. Knowledge of perimeter and area is useful when costing a project.
      3. For each context, you need to decide whether perimeter or area is relevant.

      Keywords

      • Perimeter - The perimeter is the distance around a 2D shape.

      • Area - The area is the size of the surface and states the number of unit squares needed to completely cover that surface.

      Common misconception

      Pupils may struggle to select the correct process of perimeter or area.

      Pupils should consider whether a space is to be covered in which case it is most likely area.

      Teacher tip

      Task B could be completed in pairs/groups and could also have a budget added to it so that pupils need to consider their choices a little more closely. Also, many DIY websites have calculators in built to work out how much material is needed based on measurements.

      Equipment

      Additional material handout for task B.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      Match each measurement to its size for this rectangle.

      An image in a quiz
      Correct Answer:Area =,45 cm²
      Correct Answer:Perimeter =,28 cm

      Q2.
      The perimeter of this parallelogram is cm.

      An image in a quiz
      Correct Answer: 38, thirty eight

      Q3.
      Match each unit to its type of measure.

      Correct Answer:Foot,length
      Correct Answer:Kilogram,mass
      Correct Answer:Square yard,area
      Correct Answer:Cubic centimetre,volume

      Q4.
      The area of this triangle is cm².

      An image in a quiz
      Correct Answer: 27, twenty seven

      Q5.
      The perimeter of this compound shape is cm.

      An image in a quiz
      Correct Answer: 102, 102 cm, 102cm

      Q6.
      The area of this compound shape is cm².

      An image in a quiz
      Correct Answer: 444

      6 Questions

      Q1.
      Match each type of measure with the context it could be needed for.

      Correct Answer:Area,polishing a floor
      Correct Answer:Perimeter,fencing an animal pen
      Correct Answer:Neither perimeter nor area,filling up a bath

      Q2.
      A single rectangular tile has the dimensions 600 mm by 450 mm and a single square tile has an edge length of 520 mm. The tile has the larger area.

      Correct Answer: square

      Q3.
      Sofia is making a picture frame. She makes the frame by cutting a long piece of wooden trim into 4 pieces. What length of wooden trim does she need to make the frame?

      An image in a quiz
      100 cm
      110 cm
      120 cm
      130 cm
      Correct answer: 140 cm

      Q4.
      Izzy buys a tin of paint to decorate her bedroom. The tin states it will cover 32.5 m². Izzy correctly calculates that she has enough paint for two coats. Select the correct statement.

      The total bedroom wall area cannot exceed 32.5 m².
      Correct answer: The total bedroom wall area cannot exceed 16.25 m².
      The total bedroom wall area has to be more than 32.5 m².
      The total bedroom wall area has to be more than 16.25 m².

      Q5.
      Block paving slabs cost 45 p per block. A gardener pays £112.50 for some paving slabs. The gardener buys paving slabs.

      Correct Answer: 250

      Q6.
      Here is a quote for garden materials. The cost of the 24 overlap panels is £ .

      An image in a quiz
      Correct Answer: 636, 636.00, £636.00

      To help you plan your 10 maths lesson on: Perimeter and area in a contextual setting, download all teaching resources for free and adapt to suit your pupils' needs...