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Chantel is carpeting a room that has an area of x^2-100 square feet. If the width of the room is x-10 feet, what is the length of the room.

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A=LW and we are told that:

A=x^2-100 and W=x-10 so:

x^2-100=L(x-10)

L=(x^2-100)/(x-10) factoring the numerator...

L=((x+10)(x-10))/(x-10) the (x-10) terms cancel out leaving...

L=x+10
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