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

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) (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

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