PSLEEthan had 3.5 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 f.
- If f = 11, how much of the rope was not used to make the figure? Leave your answer in meters.
(a)
Total length of rope used
= f + f + f + (3f - 3) + (f + 18)
= f + f + f + 3f + f - 3 + 18
= (7 f + 15) cm
(b)
1 m = 100 cm
3.5 m = 350 cm
Total length of rope used if f = 11
= 7 f + 15
= 7(11) + 15
= 77 + 15
= 92 cm
Total length of rope not used
= 350 - 92
= 258 cm
1 cm = 0.01 m
258 cm = 2.58 m
Answer(s): (a) (7f + 15) cm; (b) 2.58 m