PSLEOwen had 3.3 m of ribbon. He used some of it to make the figure as shown.
- How much of the ribbon did Andy use to make the figure? Leave your answer in the simplest form in terms of i.
- If i = 18, how much of the ribbon was not used to make the figure? Leave your answer in meters.
(a)
Total length of ribbon used
= i + i + i + (3i - 7) + (i + 17)
= i + i + i + 3i + i - 7 + 17
= (7 i + 10) cm
(b)
1 m = 100 cm
3.3 m = 330 cm
Total length of ribbon used if i = 18
= 7 i + 10
= 7(18) + 10
= 126 + 10
= 136 cm
Total length of ribbon not used
= 330 - 136
= 194 cm
1 cm = 0.01 m
194 cm = 1.94 m
Answer(s): (a) (7i + 10) cm; (b) 1.94 m