document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210480>Question 1210480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the ratio of the area of the red region to the area of the yellow region.  Enter your answer as a fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852855 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53299)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Find the ratio of the area of the red region to the area of the yellow region.  Enter your answer as a fraction.<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I am strongly disagree with the solution given by @CPhill in his post.\r<BR>\n" );
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document.write( "First, &nbsp;his interpretation is far-fetched.  &nbsp;Nothing in the problem points <BR>\n" );
document.write( "to triangle and its midline and so on.\r<BR>\n" );
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document.write( "But even if to accept his interpretation, &nbsp;his answer &nbsp;1/4 &nbsp;for the area ratios<BR>\n" );
document.write( "is  &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28fatally%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28fatally%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28incorrect%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28incorrect%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Yes, &nbsp;the ratio &nbsp;1/4 &nbsp;is valid as the ratio of the area of smaller triangle to the area of the whole triangle.\r<BR>\n" );
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document.write( "But the question is about the ratio of the areas of differently colored parts.\r<BR>\n" );
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document.write( "The ratio of the area of smaller triangle to the area of the remaining part <BR>\n" );
document.write( "of the whole triangle is then &nbsp;1/3,\r<BR>\n" );
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document.write( "and the correct &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28ANSWER%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28ANSWER%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  &nbsp;should be  then &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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