PSLELiam had 3.7 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 t.
- If t = 14, how much of the string was not used to make the figure? Leave your answer in meters.
(a)
Total length of string used
= t + t + t + (3t - 5) + (t + 15)
= t + t + t + 3t + t - 5 + 15
= (7 t + 10) cm
(b)
1 m = 100 cm
3.7 m = 370 cm
Total length of string used if t = 14
= 7 t + 10
= 7(14) + 10
= 98 + 10
= 108 cm
Total length of string not used
= 370 - 108
= 262 cm
1 cm = 0.01 m
262 cm = 2.62 m
Answer(s): (a) (7t + 10) cm; (b) 2.62 m