Posted by **Elle** on Monday, July 4, 2011 at 12:35pm.

I was given this interesting problem:

The length of a rectangle is 6 feet longer than its width. The perimeter is less than 48 feet. Write a mathematical expression for the width of the rectangle.

How do I go about doing this?

- algebra 1 -
**Quidditch**, Monday, July 4, 2011 at 1:21pm
What does the problem say:

Perimeter is less than 48ft.

Let P=perimeter

Let L=length

Let W=width

P<48ft

Express perimeter in terms of length and width:

P=L+W+L+W

or

L+W+L+W<48ft

Express the width as a funtion of L.

Substitute that value into the above equation and solve for W.

- algebra 1 -
**Quidditch**, Monday, July 4, 2011 at 1:24pm
Sorry the next to last line should say to express LENGTH as a function of W.

Then, solve for W.

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