PSLEFred had 3.5 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 z.
- If z = 17, how much of the wire was not used to make the figure? Leave your answer in meters.
(a)
Total length of wire used
= z + z + z + (2z - 10) + (z + 17)
= z + z + z + 2z + z - 10 + 17
= (6 z + 7) cm
(b)
1 m = 100 cm
3.5 m = 350 cm
Total length of wire used if z = 17
= 6 z + 7
= 6(17) + 7
= 102 + 7
= 109 cm
Total length of wire not used
= 350 - 109
= 241 cm
1 cm = 0.01 m
241 cm = 2.41 m
Answer(s): (a) (6z + 7) cm; (b) 2.41 m