PSLETom had 2.6 m of rope. He used some of it to make the figure as shown.
- How much of the rope did Andy use to make the figure? Leave your answer in the simplest form in terms of i.
- If i = 11, how much of the rope was not used to make the figure? Leave your answer in meters.
(a)
Total length of rope used
= i + i + i + (2i - 9) + (i + 11)
= i + i + i + 2i + i - 9 + 11
= (6 i + 2) cm
(b)
1 m = 100 cm
2.6 m = 260 cm
Total length of rope used if i = 11
= 6 i + 2
= 6(11) + 2
= 66 + 2
= 68 cm
Total length of rope not used
= 260 - 68
= 192 cm
1 cm = 0.01 m
192 cm = 1.92 m
Answer(s): (a) (6i + 2) cm; (b) 1.92 m