PSLELuis had 2.7 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 = 11, 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 + (3v - 10) + (v + 17)
= v + v + v + 3v + v - 10 + 17
= (7 v + 7) cm
(b)
1 m = 100 cm
2.7 m = 270 cm
Total length of wire used if v = 11
= 7 v + 7
= 7(11) + 7
= 77 + 7
= 84 cm
Total length of wire not used
= 270 - 84
= 186 cm
1 cm = 0.01 m
186 cm = 1.86 m
Answer(s): (a) (7v + 7) cm; (b) 1.86 m