Each of the figures is made up of 1-cm wooden rods.
The table shows the number of wooden rods used to make the figures and their perimeters.
- Find the number of wooden rods in Figure 13.
- What is the perimeter of Figure 152?
- Which figure requires a total number of 1215 wooden rods?
(a)
Pattern for the number of wooden rods
Figure 1: 1 x 8 + 7 = 15
Figure 2: 2 x 8 + 7 = 23
Figure 3: 3 x 8 + 7 = 31
Formula:
Number of wooden rods = Pattern number x 8 + 7
Number of wooden rods in Figure 13
= 13 x 8 + 7
= 111
(b)
Pattern for the perimeter of the figure
Figure 1 = 1 x 2 + 7 = 9
Figure 2 = 2 x 2 + 7 = 11
Figure 3 = 3 x 2 + 7 = 13
Formula:
Perimeter of the figure = Pattern number x 2 + 7
Perimeter of figure 152
= 152 x 2 + 7
= 311
(c)
Figure number x 8 + 7 = 1215
Figure number x 8 = 1215 - 7 = 1208
Figure number = 1208 ÷ 8 = 151
Answer(s): (a) 111; (b) 311; (c) 151