PSLEFred had 2.6 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 f.
- If f = 16, how much of the string was not used to make the figure? Leave your answer in meters.
(a)
Total length of string used
= f + f + f + (3f - 10) + (f + 20)
= f + f + f + 3f + f - 10 + 20
= (7 f + 10) cm
(b)
1 m = 100 cm
2.6 m = 260 cm
Total length of string used if f = 16
= 7 f + 10
= 7(16) + 10
= 112 + 10
= 122 cm
Total length of string not used
= 260 - 122
= 138 cm
1 cm = 0.01 m
138 cm = 1.38 m
Answer(s): (a) (7f + 10) cm; (b) 1.38 m