PSLEMark had 3.8 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 q.
- If q = 23, how much of the string was not used to make the figure? Leave your answer in meters.
(a)
Total length of string used
= q + q + q + (2q - 7) + (q + 13)
= q + q + q + 2q + q - 7 + 13
= (6 q + 6) cm
(b)
1 m = 100 cm
3.8 m = 380 cm
Total length of string used if q = 23
= 6 q + 6
= 6(23) + 6
= 138 + 6
= 144 cm
Total length of string not used
= 380 - 144
= 236 cm
1 cm = 0.01 m
236 cm = 2.36 m
Answer(s): (a) (6q + 6) cm; (b) 2.36 m