Each of the figure is made up of 3-cm sticks. The table shows the total length of sticks used for each figure and the perimeter of each figure.

1. Complete the table for Figure 4 (i).
2. Complete the table for Figure 4 (ii).
3. Which figure number will have a perimeter of 1002 cm?

(a)
Pattern of the total length of sticks
Figure 1: (1 x 11 + 1) x 3 = 36 cm
Figure 2: (2 x 11 + 1) x 3 = 69 cm
Figure 3: (3 x 11 + 1) x 3 = 102 cm

Formula:
Total length of sticks = (Figure number x 11 + 1) x 3

Total length of sticks for Figure 4
= (4 x 11 + 1) x 3
= 45 x 3
= 135 cm

(b)
Pattern of the perimeter
Figure 1: (1 x 4 + 2) x 3 = 18 cm
Figure 2: (2 x 4 + 2) x 3 = 30 cm
Figure 3: (3 x 4 + 2) x 3 = 42 cm

Formula:
Perimeter of Figure= (Figure number x 4 + 2) x 3

Perimeter of Figure 4
= (4 x 4 + 2) x 3
= 18 x 3
= 54 cm

(c)
(Figure number x 4 + 2) x 3 = 1002
Figure number x 4 + 2 = 1002 ÷ 3
Figure number x 4 + 2 = 334
Figure number x 4 = 334 - 2
Figure number x 4 = 332
Figure number = 332 ÷ 4
Figure number = 83

Answer(s): (a) 135; (b) 54; (c) 83