PSLENick had 3.3 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 q.
- If q = 22, how much of the wire was not used to make the figure? Leave your answer in meters.
(a)
Total length of wire used
= q + q + q + (2q - 10) + (q + 12)
= q + q + q + 2q + q - 10 + 12
= (6 q + 2) cm
(b)
1 m = 100 cm
3.3 m = 330 cm
Total length of wire used if q = 22
= 6 q + 2
= 6(22) + 2
= 132 + 2
= 134 cm
Total length of wire not used
= 330 - 134
= 196 cm
1 cm = 0.01 m
196 cm = 1.96 m
Answer(s): (a) (6q + 2) cm; (b) 1.96 m