PSLEOwen had 3.8 m of streamer. He used some of it to make the figure as shown.
- How much of the streamer did Andy use to make the figure? Leave your answer in the simplest form in terms of z.
- If z = 23, how much of the streamer was not used to make the figure? Leave your answer in meters.
(a)
Total length of streamer used
= z + z + z + (3z - 10) + (z + 19)
= z + z + z + 3z + z - 10 + 19
= (7 z + 9) cm
(b)
1 m = 100 cm
3.8 m = 380 cm
Total length of streamer used if z = 23
= 7 z + 9
= 7(23) + 9
= 161 + 9
= 170 cm
Total length of streamer not used
= 380 - 170
= 210 cm
1 cm = 0.01 m
210 cm = 2.1 m
Answer(s): (a) (7z + 9) cm; (b) 2.1 m