PSLECaden had 3.3 m of rope. He used some of it to make the figure as shown.
- How much of the rope did Andy use to make the figure? Leave your answer in the simplest form in terms of a.
- If a = 21, how much of the rope was not used to make the figure? Leave your answer in meters.
(a)
Total length of rope used
= a + a + a + (2a - 7) + (a + 13)
= a + a + a + 2a + a - 7 + 13
= (6 a + 6) cm
(b)
1 m = 100 cm
3.3 m = 330 cm
Total length of rope used if a = 21
= 6 a + 6
= 6(21) + 6
= 126 + 6
= 132 cm
Total length of rope not used
= 330 - 132
= 198 cm
1 cm = 0.01 m
198 cm = 1.98 m
Answer(s): (a) (6a + 6) cm; (b) 1.98 m