document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975748>Question 975748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the corresponding sides of two similar polygons is 2 : 3. If the perimeter of the larger polygon is 27, find the perimeter of the smaller polygon.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597419 by </B><A HREF=/tutors/aboutme.mpl?userid=Algerba_101><B>Algerba_101(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Algerba_101><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=597419\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us say that both polygons have n sides. <BR>\n" );
document.write( "Length of each side of polygon#1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >       <BR>\n" );
document.write( "Hence, perimeter[1] = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Ax%5B1%5D ALIGN=MIDDLE  ALT=\"n%2Ax%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Length of each side of polygon#2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D ALIGN=MIDDLE  ALT=\"x%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >    <BR>\n" );
document.write( "Hence, perimeter[2] = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Ax%5B2%5D+=+27 ALIGN=MIDDLE  ALT=\"n%2Ax%5B2%5D+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "We know already, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D%2Fx%5B2%5D%7D=2%2F3 ALIGN=MIDDLE  ALT=\"x%5B1%5D%2Fx%5B2%5D%7D=2%2F3\"   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=%28Perimeter%5B1%5D%2FPerimeter%5B2%5D%29+=+n%2Ax%5B1%5D%2Fn%2Ax%5B2%5D ALIGN=MIDDLE  ALT=\"%28Perimeter%5B1%5D%2FPerimeter%5B2%5D%29+=+n%2Ax%5B1%5D%2Fn%2Ax%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Perimeter%5B1%5D%2F27+=+x%5B1%5D%2Fx%5B2%5D ALIGN=MIDDLE  ALT=\"Perimeter%5B1%5D%2F27+=+x%5B1%5D%2Fx%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "               <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Perimeter%5B1%5D+=+%282%2F3%29+%2A+27 ALIGN=MIDDLE  ALT=\"Perimeter%5B1%5D+=+%282%2F3%29+%2A+27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "               <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Perimeter%5B1%5D+=+18 ALIGN=MIDDLE  ALT=\"Perimeter%5B1%5D+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore, perimeter of smaller polygon is 18. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );