SOLUTION: Translate the statement below into a mathematical equation. The equation should contain only one variable. DO NOT SOLVE.: The Perimeter of a rectangle is 600. The length of the

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Question 282446: Translate the statement below into a mathematical equation. The equation should contain only one variable. DO NOT SOLVE.:
The Perimeter of a rectangle is 600. The length of the rectangle is 2 more than 3 times the width.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the width. Then the length is .

The Perimeter of a rectangle is calculated by:



Substituting what we know:



And do a little simplifying:



There is nothing particularly sacred about doing this the way I have done it. You could very well express the width in terms of the length and derived a very different looking, but nonetheless equivalent expression. So instead of:



You would start with:



The final result would be uglier than a mud fence, but not any less correct.

John