PSLECarl had 3.4 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 p.
- If p = 20, how much of the string was not used to make the figure? Leave your answer in meters.
(a)
Total length of string used
= p + p + p + (3p - 3) + (p + 15)
= p + p + p + 3p + p - 3 + 15
= (7 p + 12) cm
(b)
1 m = 100 cm
3.4 m = 340 cm
Total length of string used if p = 20
= 7 p + 12
= 7(20) + 12
= 140 + 12
= 152 cm
Total length of string not used
= 340 - 152
= 188 cm
1 cm = 0.01 m
188 cm = 1.88 m
Answer(s): (a) (7p + 12) cm; (b) 1.88 m