document.write( "Question 213483: 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? \n" ); document.write( "
Algebra.Com's Answer #161436 by ankor@dixie-net.com(22740)\"\" \"About 
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Two rectangles have the same width.
\n" ); document.write( "let w = width of both rectangles
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\n" ); document.write( "The length of one is 1 foot longer than the width.
\n" ); document.write( "L1 = w + 1\r
\n" ); document.write( "\n" ); document.write( " The length of the other is 2 feet longer than the width.
\n" ); document.write( "L2 = w + 2
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\n" ); document.write( "The larger rectangle has 6 more square feet than the smaller.
\n" ); document.write( "W*L2 - W*L1 = 6
\n" ); document.write( ":
\n" ); document.write( "What is the width of the rectangles?
\n" ); document.write( "Replace L2 in the above equation with (W+2);
\n" ); document.write( "Replace L1 in the above equation with ((W+1)
\n" ); document.write( "W*(W+2) - W*(W+1) = 6
\n" ); document.write( "W^2 + 2W - W^2 - W = 6
\n" ); document.write( "2W - W = 6
\n" ); document.write( "W = 6 is the width of both rectangles
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\n" ); document.write( ":
\n" ); document.write( "Check solution
\n" ); document.write( "8*6 - 7*6 = 6
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