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### Length, Width of Rectangle Given Perimeter

```
Date: 9/4/96 at 21:41:17
From: Anonymous
Subject: Length, Width of Rectangle Given Perimeter

If the perimeter of a rectangle is 300 and the length is two times the
width, what are the length and the width?

Write an equation to show how you would work the problem.
```

```
Date: 9/4/96 at 21:44:24
From: Doctor Robert
Subject: Re: Length, Width of Rectangle Given Perimeter

Call the width of the rectangle x.  Then, if the length is two times
the width, the length must be 2x.  Now, if you have a rectangle whose
width is x and whose length is 2x, the perimeter must be
2x+2x+x+x = 6x.

You are told that the perimeter is 300, so the equation is 6x = 300.
Dividing both sides by 6, one gets x = 50.  So the width is 50 and the
length is 100.

-Doctor Robert,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Algebra
Middle School Geometry
Middle School Triangles and Other Polygons

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