document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166152>Question 166152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of the polygon whose vertices are at (1,-4),(4,-1),(4,5),(-1,4)&(-2,-1). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122593 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First plot the points and see what you've got.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2Cgrid%28+1+%29%2C%0D%0Acircle%28+1%2C+-4%2C+.2+%29%2C%0D%0Acircle%28+4%2C+-1%2C+.2+%29%2C%0D%0Acircle%28+4%2C+5%2C+.2+%29%2C%0D%0Acircle%28+-1%2C+4%2C+.2+%29%2C%0D%0Acircle%28+-2%2C+-1%2C+.2+%29%2C%0D%0Aline%281%2C-4%2C4%2C-1%29%2C%0D%0Aline%284%2C-1%2C4%2C5%29%2C%0D%0Aline%284%2C5%2C-1%2C4%29%2C%0D%0Aline%28-1%2C4%2C-2%2C-1%29%2C%0D%0Aline%28-2%2C-1%2C1%2C-4%29%2C%0D%0Alocate%281.1%2C-4.2%2CA%29%2C%0D%0Alocate%284.1%2C-1.2%2CB%29%2C%0D%0Alocate%284.2%2C5.2%2CC%29%2C%0D%0Alocate%28-1.5%2C4.2%2CD%29%2C%0D%0Alocate%28-2.5%2C-1.2%2CE%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Define a couple of extra points that will help simplify the solution. <BR>\n" );
document.write( "X at (4,4)<BR>\n" );
document.write( "Y at (-1,-1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2Cgrid%28+1+%29%2C%0D%0Acircle%28+1%2C+-4%2C+.2+%29%2C%0D%0Acircle%28+4%2C+-1%2C+.2+%29%2C%0D%0Acircle%28+4%2C+5%2C+.2+%29%2C%0D%0Acircle%28+-1%2C+4%2C+.2+%29%2C%0D%0Acircle%28+-2%2C+-1%2C+.2+%29%2C%0D%0Acircle%284%2C4%2C.2%29%2C%0D%0Acircle%28-1%2C-1%2C.2%29%2C%0D%0Agreen%28line%284%2C4%2C-1%2C4%29%29%2C%0D%0Agreen%28line%28-2%2C-1%2C4%2C-1%29%29%2C%0D%0Agreen%28line%28-1%2C-1%2C-1%2C4%29%29%2C%0D%0Agreen%28line%284%2C-1%2C4%2C4%29%29%2C%0D%0Alocate%28-1.2%2C-1.2%2CY%29%2C%0D%0Alocate%284.2%2C4%2CX%29%2C%0D%0Aline%281%2C-4%2C4%2C-1%29%2C%0D%0Aline%284%2C4%2C4%2C5%29%2C%0D%0Aline%284%2C5%2C-1%2C4%29%2C%0D%0Aline%28-1%2C4%2C-2%2C-1%29%2C%0D%0Aline%28-2%2C-1%2C1%2C-4%29%2C%0D%0Alocate%281.1%2C-4.2%2CA%29%2C%0D%0Alocate%284.1%2C-1.2%2CB%29%2C%0D%0Alocate%284.2%2C5.2%2CC%29%2C%0D%0Alocate%28-1.5%2C4.2%2CD%29%2C%0D%0Alocate%28-2.5%2C-1.2%2CE%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can find the areas of the individual triangles and square and add them together.<BR>\n" );
document.write( "Area of a square is s*s where s is the side length.<BR>\n" );
document.write( "Area of a triagle is half the product of base and height.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Square BXDY : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=s%5E2=5%5E2=25 ALIGN=MIDDLE  ALT=\"A=s%5E2=5%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Triangle XCD :<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29bh=%281%2F2%29%285%29%281%29=5%2F2 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29bh=%281%2F2%29%285%29%281%29=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Triangle DEY :<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29bh=%281%2F2%29%281%29%285%29=5%2F2 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29bh=%281%2F2%29%281%29%285%29=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Triangle EAB :<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29bh=%281%2F2%29%286%29%283%29=9 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29bh=%281%2F2%29%286%29%283%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now add all of the areas,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bp%5D=25%2B5%2F2%2B5%2F2%2B9 ALIGN=MIDDLE  ALT=\"A%5Bp%5D=25%2B5%2F2%2B5%2F2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bp%5D=39 ALIGN=MIDDLE  ALT=\"A%5Bp%5D=39\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );