PSLEDavid had 2.7 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 - 7) + (f + 20)
= f + f + f + 3f + f - 7 + 20
= (7 f + 13) cm
(b)
1 m = 100 cm
2.7 m = 270 cm
Total length of rope used if f = 11
= 7 f + 13
= 7(11) + 13
= 77 + 13
= 90 cm
Total length of rope not used
= 270 - 90
= 180 cm
1 cm = 0.01 m
180 cm = 1.8 m
Answer(s): (a) (7f + 13) cm; (b) 1.8 m