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Construction NumeracyCalculating 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 Square5m
5m
Perimeter = 5 + 5 + 5 + 5Perimeter = 20m
orPerimeter = 5 x 4Perimeter = 20m
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
5m
5m
Perimeter of a Square
6m
6m
Perimeter = Length of one side x 4
Perimeter =
7m
7mPerimeter = Length of one side x 4
Perimeter =
Perimeter of a Square
3m
3m
9.4m
9.4m
Perimeter = Length of one side x 4
Perimeter =
Perimeter = Length of one side x 4
Perimeter =
Perimeter of a Rectangle
6m
4m
Perimeter = 6 + 4 + 6 + 4
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
6m
9m
8m
P = Side 1 + Side 2 + Side 3 + Side 4
Perimeter =
P = Side 1 + Side 2 + Side 3 + Side 4
Perimeter =
Perimeter of a Rectangle
3m
2m
5.2m
3m
P = Side 1 + Side 2 + Side 3 + Side 4
Perimeter =
P = Side 1 + Side 2 + Side 3 + Side 4
Perimeter =
Perimeter of a Triangle
6m
6m
Perimeter = Side 1 + Side 2 + Side 3
Perimeter = 6 + 6 + 6
Perimeter = 18m
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.
6m
Perimeter of a Triangle
4m
4m4mPerimeter = Side 1 + Side 2 + Side 3
Perimeter =
Perimeter = Side 1 + Side 2 + Side 3
Perimeter =
6m
8m8m
Perimeter of a Triangle
8m
9m9mPerimeter = Side 1 + Side 2 + Side 3
Perimeter =
Perimeter = Side 1 + Side 2 + Side 3
Perimeter =
8m
7m7m
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.jpgThis 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 DepartmentCity of Glasgow College
2012