document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309952>Question 309952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the length of a rectangle is 31 centimeters less than five times its width. the area is 72 square centimeters. find the dimensions of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221685 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=221685\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the width be x<BR>\n" );
document.write( "length will be 5x-31\r<BR>\n" );
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document.write( "Area = L*W\r<BR>\n" );
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document.write( "72 = x(5x-31)<BR>\n" );
document.write( "72=5x^2-31x<BR>\n" );
document.write( "5x^2-31x-72=0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x1,x2 the roots of the equation will be\r<BR>\n" );
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document.write( "x1= 31+sqrt(-31^2-4*5*-72) / 2*5\r<BR>\n" );
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document.write( "x1= 31 +sqrt(-31^2 +1440) /10<BR>\n" );
document.write( "x1= 8\r<BR>\n" );
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document.write( "x2 = -1.8\r<BR>\n" );
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document.write( "x2 is negative<BR>\n" );
document.write( "So width = 8 cms<BR>\n" );
document.write( "Then length will be 9cms </SPAN>\n" );
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