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Construction Numeracy
Calculating Perimeters: Basic Shapes




                            Stonemasonry Department 2012
Perimeter

       ‘Perimeter is the distance
       around a two dimensional
              shape, or the
          measurement of the
            distance around
        something; the length of
             the boundary.’
                           Wikipedia 2012
Perimeter of a Square
               5m
                                    Perimeter = 5 + 5 + 5 + 5
                                        Perimeter = 20m
  5m                          5m
                                                 or
                                         Perimeter = 5 x 4
                                         Perimeter = 20m
               5m
    To calculate the perimeter of a square we add the lengths of
     each of the four sides. Because the sides of a square have
         identical lengths we can use the following formula:

          Perimeter of a Square = Length of One Side x 4
Perimeter of a Square
      6m

                   Perimeter = Length of one side x 4
             6m
                   Perimeter =


      7m

                   Perimeter = Length of one side x 4
             7m
                   Perimeter =
Perimeter of a Square
      3m

                    Perimeter = Length of one side x 4
             3m
                    Perimeter =


     9.4m

                    Perimeter = Length of one side x 4
             9.4m
                    Perimeter =
Perimeter of a Rectangle
           6m
                                    Perimeter = 6 + 4 + 6 + 4

                           4m       Perimeter = 20m




   To calculate the perimeter of a rectangle we add the lengths of
          all four sides. Remember to use the correct unit of
    measurement when displaying your answer (e.g. m, mm, cm,
                                 km)
Perimeter of a Rectangle
     8m
                   P = Side 1 + Side 2 + Side 3 + Side 4
              6m Perimeter =


     9m

                   P = Side 1 + Side 2 + Side 3 + Side 4
              8m
                   Perimeter =
Perimeter of a Rectangle
     3m
                    P = Side 1 + Side 2 + Side 3 + Side 4
               2m Perimeter =


     5.2m

                    P = Side 1 + Side 2 + Side 3 + Side 4
               3m
                    Perimeter =
Perimeter of a Triangle

                           Perimeter = Side 1 + Side 2 + Side 3

  6m              6m       Perimeter = 6 + 6 + 6

                           Perimeter = 18m
          6m


   To calculate the perimeter of a triangle you add the lengths of
   each of the three sides. You cannot assume that each side will
       have the same length so check your answer carefully.
Perimeter of a Triangle

                   Perimeter = Side 1 + Side 2 + Side 3
    4m        4m
                   Perimeter =


         4m


    8m             Perimeter = Side 1 + Side 2 + Side 3
              8m
                   Perimeter =

         6m
Perimeter of a Triangle

                    Perimeter = Side 1 + Side 2 + Side 3
    9m         9m
                    Perimeter =


          8m


               7m   Perimeter = Side 1 + Side 2 + Side 3
  7m
                    Perimeter =

         8m
Perimeters of Complex Shapes




  Perimeters are commonly used in the construction industry and
   often the shapes we measure the perimeter of are not perfect
      squares, rectangles and triangles but a combination of a
  number of them. Can you calculate the perimeter of the shape
                           shown above?
References
             The image on the title slide of this presentation was
             sourced from Eric Gjerde’s photostream at:
             http://images.cdn.fotopedia.com/flickr-153047995-hd.jpg
             This image was made available under creative commons

             The definition of perimeter was sourced from wikipedia at:
             http://en.wikipedia.org/wiki/Perimeter
Developed by The Stonemasonry Department
          City of Glasgow College
                    2012

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Perimeters basic

  • 1. Construction Numeracy Calculating Perimeters: Basic Shapes Stonemasonry Department 2012
  • 2. Perimeter ‘Perimeter is the distance around a two dimensional shape, or the measurement of the distance around something; the length of the boundary.’ Wikipedia 2012
  • 3. Perimeter of a Square 5m Perimeter = 5 + 5 + 5 + 5 Perimeter = 20m 5m 5m or Perimeter = 5 x 4 Perimeter = 20m 5m To calculate the perimeter of a square we add the lengths of each of the four sides. Because the sides of a square have identical lengths we can use the following formula: Perimeter of a Square = Length of One Side x 4
  • 4. Perimeter of a Square 6m Perimeter = Length of one side x 4 6m Perimeter = 7m Perimeter = Length of one side x 4 7m Perimeter =
  • 5. Perimeter of a Square 3m Perimeter = Length of one side x 4 3m Perimeter = 9.4m Perimeter = Length of one side x 4 9.4m Perimeter =
  • 6. Perimeter of a Rectangle 6m Perimeter = 6 + 4 + 6 + 4 4m Perimeter = 20m To calculate the perimeter of a rectangle we add the lengths of all four sides. Remember to use the correct unit of measurement when displaying your answer (e.g. m, mm, cm, km)
  • 7. Perimeter of a Rectangle 8m P = Side 1 + Side 2 + Side 3 + Side 4 6m Perimeter = 9m P = Side 1 + Side 2 + Side 3 + Side 4 8m Perimeter =
  • 8. Perimeter of a Rectangle 3m P = Side 1 + Side 2 + Side 3 + Side 4 2m Perimeter = 5.2m P = Side 1 + Side 2 + Side 3 + Side 4 3m Perimeter =
  • 9. Perimeter of a Triangle Perimeter = Side 1 + Side 2 + Side 3 6m 6m Perimeter = 6 + 6 + 6 Perimeter = 18m 6m To calculate the perimeter of a triangle you add the lengths of each of the three sides. You cannot assume that each side will have the same length so check your answer carefully.
  • 10. Perimeter of a Triangle Perimeter = Side 1 + Side 2 + Side 3 4m 4m Perimeter = 4m 8m Perimeter = Side 1 + Side 2 + Side 3 8m Perimeter = 6m
  • 11. Perimeter of a Triangle Perimeter = Side 1 + Side 2 + Side 3 9m 9m Perimeter = 8m 7m Perimeter = Side 1 + Side 2 + Side 3 7m Perimeter = 8m
  • 12. Perimeters of Complex Shapes Perimeters are commonly used in the construction industry and often the shapes we measure the perimeter of are not perfect squares, rectangles and triangles but a combination of a number of them. Can you calculate the perimeter of the shape shown above?
  • 13. References The image on the title slide of this presentation was sourced from Eric Gjerde’s photostream at: http://images.cdn.fotopedia.com/flickr-153047995-hd.jpg This image was made available under creative commons The definition of perimeter was sourced from wikipedia at: http://en.wikipedia.org/wiki/Perimeter
  • 14. Developed by The Stonemasonry Department City of Glasgow College 2012