PSLENeave had 3.5 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 j.
- If j = 27, how much of the string was not used to make the figure? Leave your answer in meters.
(a)
Total length of string used
= j + j + j + (2j - 10) + (j + 14)
= j + j + j + 2j + j - 10 + 14
= (6 j + 4) cm
(b)
1 m = 100 cm
3.5 m = 350 cm
Total length of string used if j = 27
= 6 j + 4
= 6(27) + 4
= 162 + 4
= 166 cm
Total length of string not used
= 350 - 166
= 184 cm
1 cm = 0.01 m
184 cm = 1.84 m
Answer(s): (a) (6j + 4) cm; (b) 1.84 m