document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=744337>Question 744337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Karens Backyard has a width of 25 meters and a length of 35 meters. SHe wants to put a rectangular flower garden in the middle of the backyard leaving a strip of grass of uniform width around all sides of the flower garden. If she wants to have 324 square meters of grass what will be the width and length of the garden </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453270 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the uniform width of the grass border<BR>\n" );
document.write( "The dimensions of the rectangular flower garden<BR>\n" );
document.write( "can be expressed as:<BR>\n" );
document.write( "width = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25+-+2x+ ALIGN=MIDDLE  ALT=\"+25+-+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35+-+2x+ ALIGN=MIDDLE  ALT=\"+35+-+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "She wants to have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+324+ ALIGN=MIDDLE  ALT=\"+324+\"   DISABLED_style= \"max-width:90%; height:auto;\" > square meters of grass<BR>\n" );
document.write( "Her whole backyard has an area of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25%2A35+=+875+ ALIGN=MIDDLE  ALT=\"+25%2A35+=+875+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m2<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "The area of her garden is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+875+-+324+=+551+ ALIGN=MIDDLE  ALT=\"+875+-+324+=+551+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+25+-+2x+%29%2A%28+35+-+2x+%29+=+551+ ALIGN=MIDDLE  ALT=\"+%28+25+-+2x+%29%2A%28+35+-+2x+%29+=+551+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+875+-+70x+-+50x+%2B+4x%5E2+=+551+ ALIGN=MIDDLE  ALT=\"+875+-+70x+-+50x+%2B+4x%5E2+=+551+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2+-+120x+%2B+875+-+551+=+0+ ALIGN=MIDDLE  ALT=\"+4x%5E2+-+120x+%2B+875+-+551+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2+-+120x+%2B+324+=+0+ ALIGN=MIDDLE  ALT=\"+4x%5E2+-+120x+%2B+324+=+0+\"   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+-+30x+%2B+81+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+30x+%2B+81+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+3+%29%2A%28+x+-+27+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+x+-+3+%29%2A%28+x+-+27+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( by inspection )<BR>\n" );
document.write( "The width of the border can't be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+27+ ALIGN=MIDDLE  ALT=\"+x+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since<BR>\n" );
document.write( "that is wider than her backyard, so<BR>\n" );
document.write( "width = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25+-+2%2A3+=+19+ ALIGN=MIDDLE  ALT=\"+25+-+2%2A3+=+19+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35+-+2%2A3+=+29+ ALIGN=MIDDLE  ALT=\"+35+-+2%2A3+=+29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "check answers:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+25+-+2x+%29%2A%28+35+-+2x+%29+=+551+ ALIGN=MIDDLE  ALT=\"+%28+25+-+2x+%29%2A%28+35+-+2x+%29+=+551+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+25+-+2%2A3+%29%2A%28+35+-+2%2A3+%29+=+551+ ALIGN=MIDDLE  ALT=\"+%28+25+-+2%2A3+%29%2A%28+35+-+2%2A3+%29+=+551+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+19%2A29+=+551+ ALIGN=MIDDLE  ALT=\"+19%2A29+=+551+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+551+=+551+ ALIGN=MIDDLE  ALT=\"+551+=+551+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );