PSLENeave had 3.8 m of thread. He used some of it to make the figure as shown.
- How much of the thread did Andy use to make the figure? Leave your answer in the simplest form in terms of f.
- If f = 30, how much of the thread was not used to make the figure? Leave your answer in meters.
(a)
Total length of thread used
= f + f + f + (2f - 8) + (f + 17)
= f + f + f + 2f + f - 8 + 17
= (6 f + 9) cm
(b)
1 m = 100 cm
3.8 m = 380 cm
Total length of thread used if f = 30
= 6 f + 9
= 6(30) + 9
= 180 + 9
= 189 cm
Total length of thread not used
= 380 - 189
= 191 cm
1 cm = 0.01 m
191 cm = 1.91 m
Answer(s): (a) (6f + 9) cm; (b) 1.91 m