Final answer:
To find the width of the lawn, we can solve the given equations by substituting the given values and solving for the width (w) and length (l).
Step-by-step explanation:
To find the width of the lawn, we need to solve the given equations.
a) i. w + l = 21:
Substitute w + l with 21, then solve for w: w + l = 21 → w = 21 - l.
ii. w = (l/2) - 3:
Substitute (l/2) - 3 with w, then solve for l: (l/2) - 3 = w → l = 2w + 6.
iii. w = 9 meters:
The width of the lawn is given as 9 meters.
b) i. w - l = 21:
Substitute w - l with 21, then solve for w: w - l = 21.
ii. w = (l/2) + 3:
Substitute (l/2) + 3 with w, then solve for l: (l/2) + 3 = w → l = 2w - 6.
iii. w = 12 meters:
The width of the lawn is given as 12 meters.
c) i. w + l = 42:
Substitute w + l with 42, then solve for w: w + l = 42 → w = 42 - l.
ii. w = (l/2) - 3:
Substitute (l/2) - 3 with w, then solve for l: (l/2) - 3 = w → l = 2w + 6.
iii. w = 9 meters:
The width of the lawn is given as 9 meters.
d) i. w - l = 21:
Substitute w - l with 21, then solve for w: w - l = 21.
ii. w = (l/2) - 3:
Substitute (l/2) - 3 with w, then solve for l: (l/2) - 3 = w → l = 2w + 6.
iii. w = 9 meters:
The width of the lawn is given as 9 meters.