algebra 1

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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 -

    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 -

    Sorry the next to last line should say to express LENGTH as a function of W.
    Then, solve for W.

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