3 Paul now packs his triangles in hexagonal shapes as shown below:


3.1 Copy and complete the table below: Number of hexagons (h)


Number of triangles (t) Perimeter of shape (p) (cm)


1 6


15


2


12 25


3.2 Write an equation that describes the relationship between t and h in the form: t = ...


3.3 Write an equation that describes the relationship between p and h in the form: p = ...


3.4 Use your equations in Questions 3.2 and 3.3 to work out: 3.4.1 the perimeter of a shape that contains 250 hexagons 3.4.2 the perimeter of a shape that contains 600 triangles 3.4.3 the number of hexagons in a shape with a perimeter of 155 cm 3.4.4 the number of triangles in a shape with a perimeter of 495 cm.


Challenge


Write an equation that describes the relationship between t and p in Exercise 1 Question 3, in the form: p = ...


3


4


5


136 Chapter 4: Patterns, functions and relationships


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