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      Securing understanding of perimeter and area

      Lesson details

      Learning outcome

      I can find the perimeter and area of basic shapes.

      Key learning points

      1. You can calculate the area and perimeter of rectangles.
      2. Different rectangles can have the same perimeter.
      3. The area of a parallelogram can be deduced from the area of a rectangle.
      4. The base and perpendicular height of parallelograms can be identified.
      5. The area of any parallelogram can be calculated.

      Keywords

      • Parallelogram - A parallelogram is a quadrilateral with two pairs of parallel and equal sides.

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

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

      Common misconception

      Pupils may confuse perimeter and area.

      Perimeter is the distance around a 2D shape. Area is the size of the surface.

      Teacher tip

      To remember perimeter, it may help pupils to think the of rim of a glass and that this is traced around the glass.

      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

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      True or false? These lines are an example of parallel lines.

      An image in a quiz
      True
      Correct answer: False

      Q2.
      An alternative name for a regular triangle is an triangle

      Correct Answer: equilateral

      Q3.
      Starting with triangle, put these shapes in order from smallest to greatest number of sides.

      1 - triangle
      2 - trapezium
      3 - pentagon
      4 - hexagon
      5 - octagon

      Q4.
      How many unit squares are inside the rectangle?

      An image in a quiz
      Correct Answer: 28, 28 squares, twenty eight, twenty-eight, twenty eight squares

      Q5.
      What is the length of the line marked $$k$$?

      An image in a quiz
      Correct Answer: 8 cm, 8 centimeters, 8 centimetres, eight cm, eight centimeters

      Q6.
      If two lines are perpendicular then they ______

      never meet
      meet at one point
      Correct answer: meet at right angles at one point
      meet at multiple points

      6 Questions

      Q1.
      Match the word to its definition

      Correct Answer:perimeter,the distance around a 2D shape
      Correct Answer:area,the size of the surface
      Correct Answer:parallelogram,the quadrilateral with two pairs of parallel and equal sides

      Q2.
      What is the minimum information needed to calculate both the area and perimeter of a rectangle?

      All four lengths
      Two parallel lengths
      Correct answer: Two perpendicular lengths
      One length and the diagonal

      Q3.
      True or false? Given a value for the perimeter, there is only one possible rectangle you could draw.

      True
      Correct answer: False

      Q4.
      A rectangle has an area of 72 units$$^2$$ and a perimeter of 36 units. How long are the length and width?

      Length = 9 units and width = 8 units
      Length = 10 units and width = 8 units
      Length = 11 units and width = 7 units
      Correct answer: Length = 12 units and width = 6 units

      Q5.
      A parallelogram with four interior angles, each equal to 90 degrees, is called a

      Correct Answer: rectangle, square

      Q6.
      Calculate the area and perimeter of this parallelogram.

      An image in a quiz
      Area = 48 m$$^2$$ and perimeter = 24 m
      Correct answer: Area = 48 m$$^2$$ and perimeter = 36 m
      Area = 80 m$$^2$$ and perimeter = 24 m
      Area = 80 m$$^2$$ and perimeter = 36 m

      To help you plan your 7 maths lesson on: Securing understanding of perimeter and area, download all teaching resources for free and adapt to suit your pupils' needs...