PSLEPeter had 2.8 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 q.
- If q = 11, how much of the rope was not used to make the figure? Leave your answer in meters.
(a)
Total length of rope used
= q + q + q + (3q - 10) + (q + 13)
= q + q + q + 3q + q - 10 + 13
= (7 q + 3) cm
(b)
1 m = 100 cm
2.8 m = 280 cm
Total length of rope used if q = 11
= 7 q + 3
= 7(11) + 3
= 77 + 3
= 80 cm
Total length of rope not used
= 280 - 80
= 200 cm
1 cm = 0.01 m
200 cm = 2 m
Answer(s): (a) (7q + 3) cm; (b) 2 m