document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152805>Question 1152805</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lot has a frontage of 120 m along the road. The other sides which are both perpendicular to the road are 90 m and 60 m, respectively. It is desired to subdivide the lot into two by another perpendicular line to the road such that the area of the lot that adjoins the 90-m side is equal to one-third of the whole area. Find the length of the dividing line.<BR>\n" );
document.write( "CHOICES: <BR>\n" );
document.write( "A. 48.12 m   B. 67.92 m<BR>\n" );
document.write( "C. 81.24 m   D. 97.26 m </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774902 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "let the length of the dividing line be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%28%28n%2Aa%5E2%2Bm%2Ab%5E2%29%2F%28n%2Bm%29%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28%28n%2Aa%5E2%2Bm%2Ab%5E2%29%2F%28n%2Bm%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=60 ALIGN=MIDDLE  ALT=\"a=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=90 ALIGN=MIDDLE  ALT=\"b=90\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90m ALIGN=MIDDLE  ALT=\"90m\"   DISABLED_style= \"max-width:90%; height:auto;\" > side is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the whole area, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60m ALIGN=MIDDLE  ALT=\"60m\"   DISABLED_style= \"max-width:90%; height:auto;\" > side is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, => areas are in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%3A2 ALIGN=MIDDLE  ALT=\"1%3A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ratio=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=1 ALIGN=MIDDLE  ALT=\"n=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=2 ALIGN=MIDDLE  ALT=\"m=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%28%281%2A60%5E2%2B2%2A90%5E2%29%2F%281%2B2%29%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28%281%2A60%5E2%2B2%2A90%5E2%29%2F%281%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%28%283600%2B2%2A8100%29%2F3%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28%283600%2B2%2A8100%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%28%283600%2B16200%29%2F3%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28%283600%2B16200%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%28%2819800%29%2F3%29 ALIGN=MIDDLE  ALT=\"x=sqrt%28%2819800%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%286600%29 ALIGN=MIDDLE  ALT=\"x=sqrt%286600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=81.24 ALIGN=MIDDLE  ALT=\"x=81.24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "answer:\r<BR>\n" );
document.write( "\n" );
document.write( "C. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81.24m ALIGN=MIDDLE  ALT=\"81.24m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );