document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118837>Question 118837</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Pat has a garden next to her house with the dimensions 3m by 10m. She wants to double the area of her garden by digging a border of even width around three of its sides. How wide of a border should she dig </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86951 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=86951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3*10=30 METERS^2 IS PAT'S GARDEN AREA.<BR>\n" );
document.write( "DOUBLING THIS AREA 2*30=60 METERS^2 IS THE TOYAL AREA.<BR>\n" );
document.write( "NOW IT DEPENDS WHAT 3 SIDES SHE DIGS AROUND.<BR>\n" );
document.write( "IF IT IS THE 3,10,3 SIDES THEN:<BR>\n" );
document.write( "(3+X)(10+2X)=60<BR>\n" );
document.write( "30+16X+2X^2=60<BR>\n" );
document.write( "2X^2+16X+30-60=0<BR>\n" );
document.write( "2X^2+16X-30=0<BR>\n" );
document.write( "2(X^2+8X-15)=0<BR>\n" );
document.write( "USING THE QUADRATIC EQUATION <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > WE GET:<BR>\n" );
document.write( "X=(-8+-SQRT[8^2-4*1*-15])/2*1<BR>\n" );
document.write( "X=(-8+-SQRT[64+60])/2<BR>\n" );
document.write( "X=(-8+-SQRT124)/2<BR>\n" );
document.write( "X=(-8+-11.136)/2<BR>\n" );
document.write( "X=(-8+11.136)/2<BR>\n" );
document.write( "X=3.136/2<BR>\n" );
document.write( "X=1.568 ANSWER FOR THE WIDTH OF THE BORDER.<BR>\n" );
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document.write( "HOWEVER --- IF THE 3 SIDES ARE 10,3,10 THEN:<BR>\n" );
document.write( "(10+X)(3+2X)=60<BR>\n" );
document.write( "30+3X+20X+2X^2=60<BR>\n" );
document.write( "2X^2+23X+30-60=0<BR>\n" );
document.write( "2X^2+23X-30=0<BR>\n" );
document.write( "X=(-23+-SQRT[23^2-4*2*-30])/2*2<BR>\n" );
document.write( "X=(-23+-SQRT[529+240])/4<BR>\n" );
document.write( "X=(-23+-SQRT769)/4<BR>\n" );
document.write( "X=(-23+-27.73)/4<BR>\n" );
document.write( "X=(-23+27.73)/4<BR>\n" );
document.write( "X=4.73/4<BR>\n" );
document.write( "X=1.18 ANSWER FOR THIS BORDER. </SPAN>\n" );
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