document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073186>Question 1073186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ashley saved a distance equal to 80% of the length of the shortest side of a rectangular field by cutting across the diagonal of the field instead of along two of the sides. Find the ratio of the length of the shortest side to the length of the longest. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #688184 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=688184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, longest side<BR>\n" );
document.write( "y, shortest side<BR>\n" );
document.write( "r, the diagonal path\r<BR>\n" );
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document.write( "Total path actually used, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=x%2By-0.8y ALIGN=MIDDLE  ALT=\"r=x%2By-0.8y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=x%2B0.2y ALIGN=MIDDLE  ALT=\"r=x%2B0.2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=x%2By%2F5 ALIGN=MIDDLE  ALT=\"r=x%2By%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Question means, to find the ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Fx ALIGN=MIDDLE  ALT=\"y%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "r is also hypotenuse of the right triangle of sides x and y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=x%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"r%5E2=x%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also from formula for r, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=%28x%2By%2F5%29%5E2=x%5E2%2B2xy%2F5%2By%5E2%2F25 ALIGN=MIDDLE  ALT=\"r%5E2=%28x%2By%2F5%29%5E2=x%5E2%2B2xy%2F5%2By%5E2%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The two expressions for r^2 are equal.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=x%5E2%2B2xy%2F5%2By%5E2%2F25 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=x%5E2%2B2xy%2F5%2By%5E2%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Algebra steps<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=2xy%2F5%2By%5E2%2F25 ALIGN=MIDDLE  ALT=\"y%5E2=2xy%2F5%2By%5E2%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25y%5E2=10xy%2By%5E2 ALIGN=MIDDLE  ALT=\"25y%5E2=10xy%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25y%5E2%2Fy%5E2=10xy%2Fy%5E2%2By%5E2%2Fy%5E2 ALIGN=MIDDLE  ALT=\"25y%5E2%2Fy%5E2=10xy%2Fy%5E2%2By%5E2%2Fy%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25=10x%2Fy%2B1 ALIGN=MIDDLE  ALT=\"25=10x%2Fy%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24=10x%2Fy ALIGN=MIDDLE  ALT=\"24=10x%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F10=x%2Fy ALIGN=MIDDLE  ALT=\"24%2F10=x%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Fx=10%2F24 ALIGN=MIDDLE  ALT=\"y%2Fx=10%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y%2Fx=5%2F12%29 ALIGN=MIDDLE  ALT=\"highlight%28y%2Fx=5%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ratio of shortest side to longest side </SPAN>\n" );
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