PSLEGeorge had 3.8 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 = 17, 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 + (3i - 6) + (i + 17)
= i + i + i + 3i + i - 6 + 17
= (7 i + 11) cm
(b)
1 m = 100 cm
3.8 m = 380 cm
Total length of rope used if i = 17
= 7 i + 11
= 7(17) + 11
= 119 + 11
= 130 cm
Total length of rope not used
= 380 - 130
= 250 cm
1 cm = 0.01 m
250 cm = 2.5 m
Answer(s): (a) (7i + 11) cm; (b) 2.5 m