PSLECaden had 3.1 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 = 14, 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 - 10) + (i + 13)
= i + i + i + 3i + i - 10 + 13
= (7 i + 3) cm
(b)
1 m = 100 cm
3.1 m = 310 cm
Total length of rope used if i = 14
= 7 i + 3
= 7(14) + 3
= 98 + 3
= 101 cm
Total length of rope not used
= 310 - 101
= 209 cm
1 cm = 0.01 m
209 cm = 2.09 m
Answer(s): (a) (7i + 3) cm; (b) 2.09 m