PSLETim had 3.1 m of rope. He used some of it to make the figure as shown.
- How much of the rope did Andy use to make the figure? Leave your answer in the simplest form in terms of z.
- If z = 20, how much of the rope was not used to make the figure? Leave your answer in meters.
(a)
Total length of rope used
= z + z + z + (3z - 8) + (z + 15)
= z + z + z + 3z + z - 8 + 15
= (7 z + 7) cm
(b)
1 m = 100 cm
3.1 m = 310 cm
Total length of rope used if z = 20
= 7 z + 7
= 7(20) + 7
= 140 + 7
= 147 cm
Total length of rope not used
= 310 - 147
= 163 cm
1 cm = 0.01 m
163 cm = 1.63 m
Answer(s): (a) (7z + 7) cm; (b) 1.63 m