PSLEPierre 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 i.
- If i = 14, how much of the wire was not used to make the figure? Leave your answer in meters.
(a)
Total length of wire used
= i + i + i + (2i - 6) + (i + 20)
= i + i + i + 2i + i - 6 + 20
= (6 i + 14) cm
(b)
1 m = 100 cm
3.2 m = 320 cm
Total length of wire used if i = 14
= 6 i + 14
= 6(14) + 14
= 84 + 14
= 98 cm
Total length of wire not used
= 320 - 98
= 222 cm
1 cm = 0.01 m
222 cm = 2.22 m
Answer(s): (a) (6i + 14) cm; (b) 2.22 m