document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=407397>Question 407397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the measures of the sides of a quadrilateral is 2:3:5:7.  If the figure's perimeter is 68, find the length of each side.<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 #287224 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=287224\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since \"The ratio of the measures of the sides of a quadrilateral is 2:3:5:7\", we know that the four sides are 2x, 3x, 5x, and 7x units long for some unknown number x.\r<BR>\n" );
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document.write( "Because \"the figure's perimeter is 68\", we can say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3x%2B5x%2B7x=68 ALIGN=MIDDLE  ALT=\"2x%2B3x%2B5x%2B7x=68\"   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=2x%2B3x%2B5x%2B7x=68 ALIGN=MIDDLE  ALT=\"2x%2B3x%2B5x%2B7x=68\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17x=68 ALIGN=MIDDLE  ALT=\"17x=68\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2868%29%2F%2817%29 ALIGN=MIDDLE  ALT=\"x=%2868%29%2F%2817%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17 ALIGN=MIDDLE  ALT=\"17\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Now that we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that \r<BR>\n" );
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document.write( "2x=2(4) = 8<BR>\n" );
document.write( "3x=3(4) = 12<BR>\n" );
document.write( "5x=5(4) = 20<BR>\n" );
document.write( "7x=7(4) = 28\r<BR>\n" );
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document.write( "Notice that 8+12+20+28 = 68\r<BR>\n" );
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document.write( "So the lengths of the 4 sides are: 8, 12, 20, and 28 units.\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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