SOLUTION: The distance around a rectangular path is 42 m. The length of the path is 3 m less than twice the width. Find the length and width of the path.

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Question 200419This question is from textbook Algebra: Introductory and Intermediate
: The distance around a rectangular path is 42 m. The length of the path is 3 m less than twice the width. Find the length and width of the path. This question is from textbook Algebra: Introductory and Intermediate

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
L=2W-3
2L+2W=42
2(2W-3)+2W=42
4W-6+2W=42
6W=42+6
6W=48
W=48/6
W=8 ANS. FOR THE WIDTH.
L=2*8-3
L=16-3
L=13 ANS FOR THE LENGTH.
PROOF:
2*13+2*8=42
26+16=42
42=42