PSLEPeter had 3.2 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 = 12, 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 + (3q - 3) + (q + 12)
= q + q + q + 3q + q - 3 + 12
= (7 q + 9) cm
(b)
1 m = 100 cm
3.2 m = 320 cm
Total length of wire used if q = 12
= 7 q + 9
= 7(12) + 9
= 84 + 9
= 93 cm
Total length of wire not used
= 320 - 93
= 227 cm
1 cm = 0.01 m
227 cm = 2.27 m
Answer(s): (a) (7q + 9) cm; (b) 2.27 m