document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914378>Question 914378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer uses 60metres of fencing to make three sides of a rectangular sheep pen, the fourth side being a wall. Find the length of the shorter sides of the pen if the area enclsed is 448 metre square<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555143 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=555143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (\"shorter sides\", length to find, so these would not be along the wall).\r<BR>\n" );
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document.write( "Dimensions x and y.<BR>\n" );
document.write( "Fencing quantity is 60 meters, and area to enclose is 448 sq. m's.\r<BR>\n" );
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document.write( "Assuming y is along the wall, and another length y is opposite the wall,<BR>\n" );
document.write( "x would be one of the shorter sides.\r<BR>\n" );
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document.write( "2x+y=60 to account for the length of fencing<BR>\n" );
document.write( "and<BR>\n" );
document.write( "xy=448 for the area.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28system%282x%2By=60%2Cxy=448%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28system%282x%2By=60%2Cxy=448%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute for y in the area equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2860-2x%29=448 ALIGN=MIDDLE  ALT=\"x%2860-2x%29=448\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify and solve first for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2830-x%29=224 ALIGN=MIDDLE  ALT=\"x%2830-x%29=224\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B30x-224=0 ALIGN=MIDDLE  ALT=\"-x%5E2%2B30x-224=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x%5E2-30x%2B224=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x%5E2-30x%2B224=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Trying to factor that may be a chore, but the discriminant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%5E2-4%2A224=4 ALIGN=MIDDLE  ALT=\"30%5E2-4%2A224=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a perfect square.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2830%2B-sqrt%284%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2830%2B-sqrt%284%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2832%2F2%29 ALIGN=MIDDLE  ALT=\"x=%2832%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=28%2F2 ALIGN=MIDDLE  ALT=\"x=28%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=16 ALIGN=MIDDLE  ALT=\"x=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=14 ALIGN=MIDDLE  ALT=\"x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Earlier found y=60-2x.<BR>\n" );
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document.write( "If x=16 then y=28.<BR>\n" );
document.write( "If x=14 then y=32.<BR>\n" );
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