document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=800820>Question 800820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangular piece of carpet is 2 meters less than 5 times its width. Find the dimensions of the carpet if its area is 16 square meters. Solve algebraically </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483277 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=483277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w = width<BR>\n" );
document.write( "5w - 2 = length {length is 2 less than 5 times width}\r<BR>\n" );
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document.write( "Area of a rectangle = length x width\r<BR>\n" );
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document.write( "w(5w - 2) = 16 {substituted length, width, and given area into area formula}<BR>\n" );
document.write( "5w² - 2w = 16 {used distributive property}<BR>\n" );
document.write( "5w² - 2w - 16 = 0   {subtracted 16 from each side}<BR>\n" );
document.write( "5w² - 10w + 8w - 16 = 0 {split -2w into -10w and 8w, factoring by grouping}<BR>\n" );
document.write( "5w(w - 2) + 8(w - 2) = 0 {factored 5w out of first two terms and 8 out of last two terms}<BR>\n" );
document.write( "(5w + 8)(w - 2) = 0 {factored out the common factor of the two terms, (w - 2)}<BR>\n" );
document.write( "5w + 8 = 0 or w - 2 = 0 {set each factor equal to 0}<BR>\n" );
document.write( "w = -8/5 ow w = 2 {solved each equation}\r<BR>\n" );
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document.write( "w = 2 {width cannot be negative}<BR>\n" );
document.write( "5w - 2 = 8 {substituted 2, in for w, into 5w - 2}\r<BR>\n" );
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document.write( "width = 2m <BR>\n" );
document.write( "length = 8m<BR>\n" );
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