SOLUTION: The length of rectangular sign is 12 less than twice the width. Its perimeter is 114 feet. What is the length and the width of the sign?

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Question 1126091: The length of rectangular sign is 12 less than twice the width. Its perimeter is 114 feet. What is the length and the width of the sign?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the length: L
the width: W
if the length of rectangular sign is 12 less than twice the width, we have
L=2W-12 ...eq.1
if its perimeter is 114 feet, we have
2%28L%2BW%29=114
L%2BW=114%2F2
L%2BW=57
L=57-W....eq.2
from eq.1 and eq.2 we have
2W-12=57-W.......solve or W
2W%2BW=57%2B12
3W=69
highlight%28W=23%29 meters
go back to L=2W-12 ...eq.1 and plug in W
L=2%2A23-12
highlight%28L=34%29 meters