document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876664>Question 876664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the area of a polygon with vertices (-2,2), (3,2), (7,-5), and (-2,-5)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528938 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=528938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the area of a polygon with vertices (-2,2), (3,2), (7,-5), and (-2,-5)?<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Add labels<BR>\n" );
document.write( "A(-2,2), B(3,2), C(7,-5), and D(-2,-5)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "List them in a 2 by -- matrix & repeat the 1st point<BR>\n" );
document.write( "A...B...C...D...A<BR>\n" );
document.write( "-2..3...7..-2..-2<BR>\n" );
document.write( "2...2..-5...-5..2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Add the diagonal products starting at the upper left<BR>\n" );
document.write( "-2*2 + 3*-5 + 7*-5 + -2*2 = -4 - 15 - 35 - 4 = -58<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Add the diagonal products starting at the lower left<BR>\n" );
document.write( "2*3 + 2*7 + -5*-2 + -5*-2 = 6 + 14 + 10 + 10 = 40<BR>\n" );
document.write( "Get the absolute value of the difference = 98<BR>\n" );
document.write( "The area is 1/2 that = 49 sq units<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "Works for any # of points, but they must be in order on the perimeter. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );