SOLUTION: The length of a picture is 4 feet less than twice its width. To frame it, 76 feet of framing are needed. Find the dimensions of the picture. (This is not from a textbook) Thank

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The length of a picture is 4 feet less than twice its width. To frame it, 76 feet of framing are needed. Find the dimensions of the picture. (This is not from a textbook) Thank       Log On

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Question 38962: The length of a picture is 4 feet less than twice its width. To frame it, 76 feet of framing are needed. Find the dimensions of the picture.
(This is not from a textbook) Thank you for your help.

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let w be the width.
The length is 2w - 4.
The perimeter, 76, is 2L + 2w, so we have
P = 2L + 2w
76 = 2(2w - 4) + 2w
76 = 4w - 8 + 2w
76 = 6w - 8
84 = 6w
w = 14
L = 2w - 4 = 20