PSLEDylan had 3.8 m of wire. He used some of it to make the figure as shown.
- How much of the wire did Andy use to make the figure? Leave your answer in the simplest form in terms of v.
- If v = 14, how much of the wire was not used to make the figure? Leave your answer in meters.
(a)
Total length of wire used
= v + v + v + (2v - 10) + (v + 17)
= v + v + v + 2v + v - 10 + 17
= (6 v + 7) cm
(b)
1 m = 100 cm
3.8 m = 380 cm
Total length of wire used if v = 14
= 6 v + 7
= 6(14) + 7
= 84 + 7
= 91 cm
Total length of wire not used
= 380 - 91
= 289 cm
1 cm = 0.01 m
289 cm = 2.89 m
Answer(s): (a) (6v + 7) cm; (b) 2.89 m