document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300301>Question 300301</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rectangle A is 4.5 times as long as it is wide.  Rectangle B is 8 inches wider and 20 inches shorter.  The rectangles have the same area.  What is the width of Rectangle B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215530 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     Rectangle A is 4.5 times as long as it is wide. Rectangle B is 8 inches wider and 20 inches shorter. The rectangles have the same area. What is the width of Rectangle B?<BR>\n" );
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document.write( "Rect A:<BR>\n" );
document.write( "Let x = width<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4.5x = length<BR>\n" );
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document.write( "Rect B:<BR>\n" );
document.write( "x+8 = width<BR>\n" );
document.write( "4.5x-20 = length<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since area is the same:<BR>\n" );
document.write( "x(4.5x) = (x+8)(4.5x-20)<BR>\n" );
document.write( "4.5x^2 = 4.5x^2-20x+36x-160<BR>\n" );
document.write( "4.5x^2 = 4.5x^2+16x-160<BR>\n" );
document.write( "0 = 16x-160<BR>\n" );
document.write( "160 = 16x<BR>\n" );
document.write( "10 inches = x<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Width of rectangle B:<BR>\n" );
document.write( "x+8 = 10+8 = 18 inches<BR>\n" );
document.write( " </SPAN>\n" );
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