SOLUTION: a rectanglular panel has a length that is 13 inches shorter than 3 times its width. The perimeter is 166 inches. What is the width of the panel in inches

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Question 906766: a rectanglular panel has a length that is 13 inches shorter than 3 times its width. The perimeter is 166 inches. What is the width of the panel in inches
Answer by northern(3) About Me  (Show Source):
You can put this solution on YOUR website!
the equation for perimeter is p = 2L + 2w. If you let w represent the width, then you can make the equation:
(166) = 2(3w-13) + 2(w)
then isolate w
166 = 6w - 26 + 2w
192 = 8w
24 = w

Therefor, the width is 24inches