document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=917723>Question 917723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two square have their sides in the ration 2:3. What is the ration of their<BR>\n" );
document.write( "1) Perimeter<BR>\n" );
document.write( "2) Area </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556780 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" >= side length for the smaller square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S ALIGN=MIDDLE  ALT=\"S\"   DISABLED_style= \"max-width:90%; height:auto;\" >= side length for the larger square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2FS=2%2F3 ALIGN=MIDDLE  ALT=\"s%2FS=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4s ALIGN=MIDDLE  ALT=\"4s\"   DISABLED_style= \"max-width:90%; height:auto;\" >= perimeter for the smaller square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4S ALIGN=MIDDLE  ALT=\"4S\"   DISABLED_style= \"max-width:90%; height:auto;\" >= perimeter for the larger square<BR>\n" );
document.write( "The ratio of the perimeters is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4s%2F4S=%284%2F4%29%28s%2FS%29=1%2A%282%2F3%29=2%2F3 ALIGN=MIDDLE  ALT=\"4s%2F4S=%284%2F4%29%28s%2FS%29=1%2A%282%2F3%29=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2 ALIGN=MIDDLE  ALT=\"s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= area for the smaller square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2 ALIGN=MIDDLE  ALT=\"S%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= area for the larger square<BR>\n" );
document.write( "The ratio of the areas is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2%2FS%5E2=%28s%2FS%29%5E2=%282%2F3%29%5E2=2%5E2%2F3%5E2=4%2F9 ALIGN=MIDDLE  ALT=\"s%5E2%2FS%5E2=%28s%2FS%29%5E2=%282%2F3%29%5E2=2%5E2%2F3%5E2=4%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTE: For similar shapes (two squares, two cubes, two circles, two spheres, etc),<BR>\n" );
document.write( "all measures of length (side, perimeter, radius, diameter, circumference, etc) are in the same ratio.<BR>\n" );
document.write( "If that ratio is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "The ratio of corresponding areas is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2 ALIGN=MIDDLE  ALT=\"r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the ratio of corresponding volumes is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3 ALIGN=MIDDLE  ALT=\"r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That works for any kind of shape, as long as one is a scaled up or scaled down version of the other. </SPAN>\n" );
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