The diagram shows a plan of two adjoining rooms. You are given some of the lengths,
areas and . The value of is the 13th term of the numerical sequence 6, 9, 12, …
and the value of is the sum of five consecutive numbers such that 46 < + < 67.
3.1 Showing all your work and explaining your thinking and reasoning, find the
3.1.1 ℎ term of the sequence 6, 9, 12, … (4)
3.1.2 value of (3)
3.1.3 value of . (5)
3.2 Three learners, Sifiso, Zola, and Q, computed the perimeter of the combined
shape and found it to be 38, 41, and 44, respectively.
3.2.1 Explain how Sifiso, Zola and Q computed the values 38, 41, and 44.
Show all your work. (9)
3.2.2 Using logic and sense-making, determine the perimeter of the combined
shape. Justify your choice. (5)