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Construction Numeracy Calculating Perimeters: Basic Shapes Stonemasonry Department 2012

Perimeters basic

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Page 1: Perimeters basic

Construction NumeracyCalculating Perimeters: Basic Shapes

Stonemasonry Department 2012

Page 2: Perimeters basic

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

Page 3: Perimeters basic

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

Page 4: Perimeters basic

Perimeter of a Square

6m

6m

Perimeter = Length of one side x 4

Perimeter =

7m

7mPerimeter = Length of one side x 4

Perimeter =

Page 5: Perimeters basic

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 =

Page 6: Perimeters basic

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)

Page 7: Perimeters basic

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 =

Page 8: Perimeters basic

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 =

Page 9: Perimeters basic

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

Page 10: Perimeters basic

Perimeter of a Triangle

4m

4m4mPerimeter = Side 1 + Side 2 + Side 3

Perimeter =

Perimeter = Side 1 + Side 2 + Side 3

Perimeter =

6m

8m8m

Page 11: Perimeters basic

Perimeter of a Triangle

8m

9m9mPerimeter = Side 1 + Side 2 + Side 3

Perimeter =

Perimeter = Side 1 + Side 2 + Side 3

Perimeter =

8m

7m7m

Page 12: Perimeters basic

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?

Page 13: Perimeters basic

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

Page 14: Perimeters basic

Developed by The Stonemasonry DepartmentCity of Glasgow College

2012