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Australian AMC 2013 - Middle Primary Question 19

AMC AUSTRALIA · Australian AMC 2013 - Middle Primary

Question 19

George is planning a garden bed which is to be 1 metre wide and a whole number of metres long. It is to be surrounded by $1\text{ metre}\times1\text{ metre}$ pavers as shown in the diagrams below. As the design for the garden gets longer, the number of pavers needs to increase.

Which of the following best describes the number of pavers required for each garden bed design?

Question illustration
  1. The number of pavers needed is 8 times the length of the garden bed.
  2. The number of pavers needed is 6 times the length of the garden bed plus 2.
  3. The number of pavers needed is 4 times the length of the garden bed.
  4. The number of pavers needed is 4 times the length of the garden bed plus 2.
  5. The number of pavers needed is 2 times the length of the garden bed plus 6.