3 Rectangles that measure 6 cm by 3 cm are placed in the following pattern:


Shape 1


Shape 2 Number of rectangles


1 1


Shape 3


3.1 Copy and complete the table below: Shape


2 2


3 3


Perimeter of the shape (cm) 18 24 30


3.2 Which of the following algebraic expressions describes the perimeter (in centimetres) of a shape made up of r rectangles? 3.2.1 18r


3.2.3 8r + 2


3.2.2 6r + 12 3.2.4 6r + 22


3.3 Calculate the perimeter of a shape made up of: 3.3.1 10 rectangles


3.3.2 55 rectangles


3.4 Draw a flow diagram that shows how to work out the perimeter (p) if the input value is the number of rectangles (r) in the shape.


3.5 Draw a flow diagram that shows how to work out the number of rectangles (r) if the input value is the perimeter (p) of the shape.


4 Rectangles that measure 6 cm by 3 cm are placed in the following pattern:


4 5 6


Shape 4 7 8


Shape 1


Shape 2


4.1 Copy and complete the following table: Shape


Number of rectangles


1 1


Perimeter of the shape (cm) 18


2 3


42


3 5


66


4.2 Which of the following algebraic expressions describes the perimeter (in centimetres) of the nth shape? 4.2.1 24n − 6 4.2.3 18n


4.2.2 6n + 12 4.2.4 4n − 6


4


Shape 3 5 6 7 8


130 Chapter 4: Patterns, functions and relationships


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