document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=385309>Question 385309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 2in. less than 7 times its width.  the area of the rectangle is 57 sq. in.  What are the dimentions 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 #272630 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=272630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w = width<BR>\n" );
document.write( "Let L = length\r<BR>\n" );
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document.write( "Length is 2 less than 7 times the width:\r<BR>\n" );
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document.write( "L = 7w - 2\r<BR>\n" );
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document.write( "Formula for area of a rectangle is A = w*L, and we know that A = 57\r<BR>\n" );
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document.write( "Substitute the formula for L into the equation, and solve for w:\r<BR>\n" );
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document.write( "A= w*L<BR>\n" );
document.write( "57 = w(7w-2)<BR>\n" );
document.write( "57 = 7w^2 - 2w<BR>\n" );
document.write( "0 = 7w^2 - 2w -57\r<BR>\n" );
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document.write( "Use the quadratic equation (or WolframAlpha.com) to solve.\r<BR>\n" );
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document.write( "You should find that w=3\r<BR>\n" );
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document.write( "This means that L is:\r<BR>\n" );
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document.write( "L=7w-2<BR>\n" );
document.write( "L=7(3)-2<BR>\n" );
document.write( "L=21-2<BR>\n" );
document.write( "L=19\r<BR>\n" );
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document.write( "So the dimensions are w=3, L=19. </SPAN>\n" );
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