document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312991>Question 312991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pentagon has an area of 128 square centimeters. A similiar pentagon has an area of 180 square centimeters. What is the ratio of the perimeters of the smaller pentagon to the larger pentagon?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223847 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pentagon has an area of 128 square centimeters. A similiar pentagon has an area of 180 square centimeters. What is the ratio of the perimeters of the smaller pentagon to the larger pentagon?<BR>\n" );
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document.write( "Area is a function of the square of the length of the sides.<BR>\n" );
document.write( "Perimeter is a linear function, the 1st power of the lenght of the sides.<BR>\n" );
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document.write( "A2/A1 = (P2/P1)^2 = 128/180<BR>\n" );
document.write( "(P2/P1)^2 = 128/180 = 32/45<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P2%2FP1+=+sqrt%2832%2F45%29 ALIGN=MIDDLE  ALT=\"P2%2FP1+=+sqrt%2832%2F45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28160%29%2F15 ALIGN=MIDDLE  ALT=\"sqrt%28160%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%2810%29%2F15 ALIGN=MIDDLE  ALT=\"4sqrt%2810%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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