PSLEJapheth 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 d.
- If d = 12, how much of the string was not used to make the figure? Leave your answer in meters.
(a)
Total length of string used
= d + d + d + (2d - 10) + (d + 15)
= d + d + d + 2d + d - 10 + 15
= (6 d + 5) cm
(b)
1 m = 100 cm
3.6 m = 360 cm
Total length of string used if d = 12
= 6 d + 5
= 6(12) + 5
= 72 + 5
= 77 cm
Total length of string not used
= 360 - 77
= 283 cm
1 cm = 0.01 m
283 cm = 2.83 m
Answer(s): (a) (6d + 5) cm; (b) 2.83 m