document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207692>Question 207692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the length of a rectangle to its width is the same as that of the diagonal to the length. If the width is 2 ,  how many units are in the length of the diagonal?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157281 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=157281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of the length of a rectangle to its width is the same as that of the diagonal to the length. <BR>\n" );
document.write( "If the width is 2 , how many units are in the length of the diagonal?<BR>\n" );
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document.write( "the hypotenuse (diagonal) = h,<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28L%5E2+%2B+w%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28L%5E2+%2B+w%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " w=2<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28L%5E2+%2B+2%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28L%5E2+%2B+2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28L%5E2+%2B+4%29 ALIGN=MIDDLE  ALT=\"sqrt%28L%5E2+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "\"the ratio of the length of a rectangle to its width is the same as that of the diagonal to the length.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2FW ALIGN=MIDDLE  ALT=\"L%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2FL ALIGN=MIDDLE  ALT=\"h%2FL\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Replace W with 2; and h with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28L%5E2+%2B+4%29 ALIGN=MIDDLE  ALT=\"sqrt%28L%5E2+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2F2 ALIGN=MIDDLE  ALT=\"L%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28L%5E2+%2B+4%29%29%2FL ALIGN=MIDDLE  ALT=\"%28sqrt%28L%5E2+%2B+4%29%29%2FL\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "L*L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28L%5E2+%2B+4%29 ALIGN=MIDDLE  ALT=\"2sqrt%28L%5E2+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "L^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28L%5E2+%2B+4%29 ALIGN=MIDDLE  ALT=\"2sqrt%28L%5E2+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Square both sides:<BR>\n" );
document.write( "L^4 = 4(L^2 + 4)<BR>\n" );
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document.write( "L^4 = 4L^2 + 16<BR>\n" );
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document.write( "L^4 - 4L^2 - 16 = 0<BR>\n" );
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document.write( "You have to use the quadratic formula to find L^2<BR>\n" );
document.write( "a-1; b=-4; c=-16<BR>\n" );
document.write( "The positive solution was L^2 = 6.472<BR>\n" );
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document.write( "Use the value to find the diagonal<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286.472+%2B+2%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%286.472+%2B+2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810.472%29 ALIGN=MIDDLE  ALT=\"sqrt%2810.472%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 3.236 units is the diagonal<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286.472%29 ALIGN=MIDDLE  ALT=\"sqrt%286.472%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.544 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2FW ALIGN=MIDDLE  ALT=\"L%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2FL ALIGN=MIDDLE  ALT=\"h%2FL\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.554%2F2 ALIGN=MIDDLE  ALT=\"2.554%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.236%2F2.554 ALIGN=MIDDLE  ALT=\"3.236%2F2.554\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.272 = 1.272 <BR>\n" );
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