PSLECody had 3.5 m of thread. He used some of it to make the figure as shown.
- How much of the thread did Andy use to make the figure? Leave your answer in the simplest form in terms of i.
- If i = 16, how much of the thread was not used to make the figure? Leave your answer in meters.
(a)
Total length of thread used
= i + i + i + (2i - 4) + (i + 19)
= i + i + i + 2i + i - 4 + 19
= (6 i + 15) cm
(b)
1 m = 100 cm
3.5 m = 350 cm
Total length of thread used if i = 16
= 6 i + 15
= 6(16) + 15
= 96 + 15
= 111 cm
Total length of thread not used
= 350 - 111
= 239 cm
1 cm = 0.01 m
239 cm = 2.39 m
Answer(s): (a) (6i + 15) cm; (b) 2.39 m