SOLUTION: The length of the retangle is 6 meters less than twice the width. The perimter is 84 meters find the lenth and width. how do u slove this do it step by step

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Question 380077: The length of the retangle is 6 meters less than twice the width. The perimter is 84 meters find the lenth and width.
how do u slove this do it step by step

Answer by rfadrogane(214) About Me  (Show Source):
You can put this solution on YOUR website!
The length of the retangle is 6 meters less than twice the width. The perimter is 84 meters find the lenth and width.
sol'n:
let: l - the length of rectangle
w - the width of rectangle
l=2w-6 ----(1)
P = 2l+2w
2l+2w=84, divide 2 on both side to simplify
l+w=42 -----(2)
substitute (1) into (2).
2w-6+w=42
3w=42+6
3w=48, divide both side by 3
w=16
from (1), substitute w to get the value of l
l=2(16)-6
l=26
and finally,
l=26 m. -- answer
w=16 m. -- answer