document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048305>Question 1048305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A polygon is regular if each of its sides has the same length. Find the perimeter of these regular polygons.<BR>\n" );
document.write( "a.<BR>\n" );
document.write( "Triangle with sides equaling:<BR>\n" );
document.write( "side 1= 5-2x<BR>\n" );
document.write( "side 2= -4x+9<BR>\n" );
document.write( "base is blank<BR>\n" );
document.write( "b. 5 sided Polygon<BR>\n" );
document.write( "side 1= 3(x-1)<BR>\n" );
document.write( "3 other sides are blank<BR>\n" );
document.write( "base= 5x-6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #663904 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=663904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Find the perimeter of these regular polygons\" tells you that they are regular polygons, meaning that (for a and b) each of its sides has the same length<BR>\n" );
document.write( "a.<BR>\n" );
document.write( "Triangle with sides equaling:<BR>\n" );
document.write( "side 1= 5-2x<BR>\n" );
document.write( "side 2= -4x+9<BR>\n" );
document.write( "Since the three sides have the same length that length is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-2x=-4x%2B9 ALIGN=MIDDLE  ALT=\"5-2x=-4x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So we solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-2x ALIGN=MIDDLE  ALT=\"5-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > , the length of each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-2x=-4x%2B9 ALIGN=MIDDLE  ALT=\"5-2x=-4x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-2x%2B4x-5=-4x%2B9%2B4x-5 ALIGN=MIDDLE  ALT=\"5-2x%2B4x-5=-4x%2B9%2B4x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-2x=9-5 ALIGN=MIDDLE  ALT=\"4x-2x=9-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=4 ALIGN=MIDDLE  ALT=\"2x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2F2 ALIGN=MIDDLE  ALT=\"x=4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-2x=5-2%2A2 ALIGN=MIDDLE  ALT=\"5-2x=5-2%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-2x=5-4 ALIGN=MIDDLE  ALT=\"5-2x=5-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-2x=1 ALIGN=MIDDLE  ALT=\"5-2x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the length of each one of the three sides of this regular triangle (an equilateral triangle).<BR>\n" );
document.write( "So the perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A1=highlight%283%29 ALIGN=MIDDLE  ALT=\"3%2A1=highlight%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "b.<BR>\n" );
document.write( "5 sided Polygon<BR>\n" );
document.write( "side 1= 3(x-1)<BR>\n" );
document.write( "3 other sides are blank<BR>\n" );
document.write( "base= 5x-6<BR>\n" );
document.write( "Since it is a regular polygon the length is the same for all sides.<BR>\n" );
document.write( "It is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-6=3%28x-1%29 ALIGN=MIDDLE  ALT=\"5x-6=3%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Once again, we solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and then use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the length of each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-6=3%28x-1%29 ALIGN=MIDDLE  ALT=\"5x-6=3%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-6=3x-3 ALIGN=MIDDLE  ALT=\"5x-6=3x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-6-3x%2B6=3x-3-3x%2B6 ALIGN=MIDDLE  ALT=\"5x-6-3x%2B6=3x-3-3x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-3x=-3%2B6 ALIGN=MIDDLE  ALT=\"5x-3x=-3%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=3 ALIGN=MIDDLE  ALT=\"2x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2F2 ALIGN=MIDDLE  ALT=\"x=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the length of each side is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%283%2F2-1%29=3%281%2F2%29=3%2F2 ALIGN=MIDDLE  ALT=\"3%283%2F2-1%29=3%281%2F2%29=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%283%2F2%29-6=15%2F2-12%2F2=3%2F2 ALIGN=MIDDLE  ALT=\"5%283%2F2%29-6=15%2F2-12%2F2=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "With <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides, each measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the perimeter of that 5 sided regular polygon (a regular pentagon) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%283%2F2%29=highlight%2815%2F2=7%261%2F2%29 ALIGN=MIDDLE  ALT=\"5%2A%283%2F2%29=highlight%2815%2F2=7%261%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );