PSLEOliver had 3.1 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 = 14, 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 + (3q - 8) + (q + 15)
= q + q + q + 3q + q - 8 + 15
= (7 q + 7) cm
(b)
1 m = 100 cm
3.1 m = 310 cm
Total length of string used if q = 14
= 7 q + 7
= 7(14) + 7
= 98 + 7
= 105 cm
Total length of string not used
= 310 - 105
= 205 cm
1 cm = 0.01 m
205 cm = 2.05 m
Answer(s): (a) (7q + 7) cm; (b) 2.05 m