PSLEValen 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 i.
- If i = 20, how much of the string was not used to make the figure? Leave your answer in meters.
(a)
Total length of string used
= i + i + i + (2i - 6) + (i + 14)
= i + i + i + 2i + i - 6 + 14
= (6 i + 8) cm
(b)
1 m = 100 cm
3.3 m = 330 cm
Total length of string used if i = 20
= 6 i + 8
= 6(20) + 8
= 120 + 8
= 128 cm
Total length of string not used
= 330 - 128
= 202 cm
1 cm = 0.01 m
202 cm = 2.02 m
Answer(s): (a) (6i + 8) cm; (b) 2.02 m