SOLUTION: I've tried doing this problem on Webassign four times and I'm just not getting it: Suppose that the length of a certain rectangle is 3 meters less than four times its width. Th

Algebra ->  Equations -> SOLUTION: I've tried doing this problem on Webassign four times and I'm just not getting it: Suppose that the length of a certain rectangle is 3 meters less than four times its width. Th      Log On


   

Question 834756: I've tried doing this problem on Webassign four times and I'm just not getting it:
Suppose that the length of a certain rectangle is 3 meters less than four times its width. The perimeter of the rectangle is 24 meters. Find the length and width of the rectangle.
Thank you so much for your help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Suppose that the length of a certain rectangle is 3 meters less than four times its width" ----> L = 4W - 3

" The perimeter of the rectangle is 24 meters" ----> P = 24

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P = 2L + 2W

24 = 2(4W-3) + 2W

24 = 8W-6 + 2W

24 = 10W-6

24+6 = 10W

30 = 10W

10W = 30

W = 30/10

W = 3

L = 4W - 3

L = 4*3 - 3

L = 9


So the length is 9 meters and the width is 3 meters.