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Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 6 more square feet than the smaller. What is the width of the rectangles?

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Accepted Answer

[tex]w-width\\\\l_1=w+1\\l_2=w+2\\\\wl_1=wl_2-6\\\\w(w+1)=w(w+2)-6\\w^2+w=w^2+2w-6\\w^2-w^2+w-2w=-6\\-w=-6\\w=6\leftarrow answer[/tex]