document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169378>Question 169378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> winter wheat: while finding the amount of seed needed to plant to plant his three square wheat fields, hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. if the total area of the three fields is 38 square kilometers, then what is the area of each field?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124905 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=124905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets call the small field a.  So the one field is a+1 and the largest field is a+3. remember these are square fields<BR>\n" );
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document.write( "so we have  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B%28a%2B1%29%5E2%2B%28a%2B3%29%5E2=38 ALIGN=MIDDLE  ALT=\"a%5E2%2B%28a%2B1%29%5E2%2B%28a%2B3%29%5E2=38\"   DISABLED_style= \"max-width:90%; height:auto;\" > distribute the left side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Ba%5E2%2B2a%2B1%2Ba%5E2%2B6a%2B9=38 ALIGN=MIDDLE  ALT=\"a%5E2%2Ba%5E2%2B2a%2B1%2Ba%5E2%2B6a%2B9=38\"   DISABLED_style= \"max-width:90%; height:auto;\" > now combine like terms<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a%5E2%2B8a%2B10=38 ALIGN=MIDDLE  ALT=\"3a%5E2%2B8a%2B10=38\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtract 38 from both sides<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a%5E2%2B8a-28=0 ALIGN=MIDDLE  ALT=\"3a%5E2%2B8a-28=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > now quadratic equation gives us\r<BR>\n" );
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document.write( "a=2 and -4.6666....so throw out the negative and we have <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=2%29 ALIGN=MIDDLE  ALT=\"highlight%28a=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > smallest field<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a%2B1=3%29 ALIGN=MIDDLE  ALT=\"highlight%28a%2B1=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > middle field<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a%2B3=5%29 ALIGN=MIDDLE  ALT=\"highlight%28a%2B3=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > large field<BR>\n" );
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