Question 3 The diagram shows a plan of two adjoining rooms. You are given some of the lengths, areas
x
and
y
. The value of
x
is the 13 th term of the numerical sequence
6,9,12,dots
and the value of
y
is the sum of five consecutive numbers such that
n^(th )6,9,12,dotsxy46.
3.1 Showing all your work and explaining your thinking and reasoning, find the
3.1.1 n^(th ) term of the sequence 6,9,12,dots
3.1.2 value of x
3.1 .3 value of y.
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.
3.2.2 Using logic and sense-making, determine the perimeter of the combined shape. Justify your choice.