PSLECarl had 3.3 m of string. He used some of it to make the figure as shown.
- How much of the string did Andy use to make the figure? Leave your answer in the simplest form in terms of v.
- If v = 26, how much of the string was not used to make the figure? Leave your answer in meters.
(a)
Total length of string used
= v + v + v + (2v - 6) + (v + 17)
= v + v + v + 2v + v - 6 + 17
= (6 v + 11) cm
(b)
1 m = 100 cm
3.3 m = 330 cm
Total length of string used if v = 26
= 6 v + 11
= 6(26) + 11
= 156 + 11
= 167 cm
Total length of string not used
= 330 - 167
= 163 cm
1 cm = 0.01 m
163 cm = 1.63 m
Answer(s): (a) (6v + 11) cm; (b) 1.63 m