Each of the figure is made up of 2-cm sticks. The table shows the total length of sticks used for each figure and the perimeter of each figure.
- Complete the table for Figure 5 (i).
- Complete the table for Figure 5 (ii).
- Which figure number will have a perimeter of 756 cm?
(a)
Pattern of the total length of sticks
Figure 1: (1 x 11 + 1) x 2 = 24 cm
Figure 2: (2 x 11 + 1) x 2 = 46 cm
Figure 3: (3 x 11 + 1) x 2 = 68 cm
Formula:
Total length of sticks = (Figure number x 11 + 1) x 2
Total length of sticks for Figure 5
= (5 x 11 + 1) x 2
= 56 x 2
= 112 cm
(b)
Pattern of the perimeter
Figure 1: (1 x 4 + 2) x 2 = 12 cm
Figure 2: (2 x 4 + 2) x 2 = 20 cm
Figure 3: (3 x 4 + 2) x 2 = 28 cm
Formula:
Perimeter of Figure= (Figure number x 4 + 2) x 2
Perimeter of Figure 5
= (5 x 4 + 2) x 2
= 22 x 2
= 44 cm
(c)
(Figure number x 4 + 2) x 2 = 756
Figure number x 4 + 2 = 756 ÷ 2
Figure number x 4 + 2 = 378
Figure number x 4 = 378 - 2
Figure number x 4 = 376
Figure number = 376 ÷ 4
Figure number = 94
Answer(s): (a) 112; (b) 44; (c) 94