SOLUTION: The area of a rectangle is 494 mm. the base is one less than three times the height. what is perimeter?

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Question 323745: The area of a rectangle is 494 mm. the base is one less than three times the height. what is perimeter?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
A=LW
L=3W-1
494=(3W-1)W
494=3W^2-W
3W^2-W-494=0
(3W+38)(W-13)=0
3W+38=0
3W=-38
W=-38/3
W=-12.667 ans.
L=3*-12.667-1=-38-1=-39 ans.
W-13=0
W=13 ans.
L=3*13-1=39-1=38
Proof:
494=-12.667*-39
494=494
494=13*38
494=494