PSLEOwen had 3.6 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 z.
- If z = 24, how much of the string was not used to make the figure? Leave your answer in meters.
(a)
Total length of string used
= z + z + z + (3z - 8) + (z + 15)
= z + z + z + 3z + z - 8 + 15
= (7 z + 7) cm
(b)
1 m = 100 cm
3.6 m = 360 cm
Total length of string used if z = 24
= 7 z + 7
= 7(24) + 7
= 168 + 7
= 175 cm
Total length of string not used
= 360 - 175
= 185 cm
1 cm = 0.01 m
185 cm = 1.85 m
Answer(s): (a) (7z + 7) cm; (b) 1.85 m