document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985946>Question 985946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area and perimeter of the quadrilateral whose vertices are (4,7),(1,4),(4,1) and (7,4)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #606946 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=606946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Understanding the figure very clearly will come from plotting those four points.  Any tests you want, ... the figure is square.  Test slopes at the intersection points, test with Distance Formula point to point around the figure.  Perimeter is four times length of any single side.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Point (1,4) and (7,4) is a diagonal of the square serving as base of an upper and a lower triangle.  This base is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-1=6 ALIGN=MIDDLE  ALT=\"7-1=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Either triangle has \"altitude\"  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-1=7-4=3 ALIGN=MIDDLE  ALT=\"4-1=7-4=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Area is then, for the square figure,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base%2Aheight=6%2A3=18 ALIGN=MIDDLE  ALT=\"base%2Aheight=6%2A3=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );