PSLELuis had 3.2 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 q.
- If q = 17, how much of the thread was not used to make the figure? Leave your answer in meters.
(a)
Total length of thread used
= q + q + q + (3q - 5) + (q + 19)
= q + q + q + 3q + q - 5 + 19
= (7 q + 14) cm
(b)
1 m = 100 cm
3.2 m = 320 cm
Total length of thread used if q = 17
= 7 q + 14
= 7(17) + 14
= 119 + 14
= 133 cm
Total length of thread not used
= 320 - 133
= 187 cm
1 cm = 0.01 m
187 cm = 1.87 m
Answer(s): (a) (7q + 14) cm; (b) 1.87 m