PSLEDaniel 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 k.
- If k = 20, how much of the string was not used to make the figure? Leave your answer in meters.
(a)
Total length of string used
= k + k + k + (2k - 3) + (k + 15)
= k + k + k + 2k + k - 3 + 15
= (6 k + 12) cm
(b)
1 m = 100 cm
3.1 m = 310 cm
Total length of string used if k = 20
= 6 k + 12
= 6(20) + 12
= 120 + 12
= 132 cm
Total length of string not used
= 310 - 132
= 178 cm
1 cm = 0.01 m
178 cm = 1.78 m
Answer(s): (a) (6k + 12) cm; (b) 1.78 m