document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687872>Question 687872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of quadrilateral formed with vertices (3,-5),(5,-1),(2,1),(-3,-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425379 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=425379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the area of quadrilateral formed with vertices (3,-5),(5,-1),(2,1),(-3,-2)<BR>\n" );
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document.write( "Label the points:<BR>\n" );
document.write( "A(3,-5), B(5,-1), C(2,1), D(-3,-2)<BR>\n" );
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document.write( ".A...B...C...D...A<BR>\n" );
document.write( "+3 +5 +2 -3 +3  x values<BR>\n" );
document.write( "-5 -1 +1 -2 -5  y values<BR>\n" );
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document.write( "Add the diagonal products starting upper left<BR>\n" );
document.write( "3*-1 + 5*1 + 2*-2 + -5*-5 = -3 + 5 - 4 + 25 = 13<BR>\n" );
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document.write( "Add the diagonal products starting lower left<BR>\n" );
document.write( "-5*5 + -1*2 + 1*-3 + -2*3 = -25 - 2 - 3 - 6 = -36<BR>\n" );
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document.write( "Area = 1/2 the difference = 49/2 sq units<BR>\n" );
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document.write( "This method works for ALL polygons, any # of sides.<BR>\n" );
document.write( "The points have to be entered in order around the polygon, tho.<BR>\n" );
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