document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922034>Question 922034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Gardener wants to fence a 350 square foot rectangular garden into 3 equal sections with fencing parallel to one of the sides of the rectangle. The total length of the garden area is 15 feet longer than twice its width. How much fencing should she purchase? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559477 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=559477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The measurements of the rectangular garden are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= width, in feet, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B15 ALIGN=MIDDLE  ALT=\"2x%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length in feet.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28350%2C100%2C-1.75%2C36.75%2C-0.5%2C10.5%2C%0D%0Arectangle%280%2C0%2C35%2C10%29%2Clocate%280.5%2C5.5%2Cx%29%2Clocate%2816%2C10%2C2x%2B15%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The area of that garden in square feet is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%282x%2B15%29=350 ALIGN=MIDDLE  ALT=\"x%282x%2B15%29=350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B15x=350 ALIGN=MIDDLE  ALT=\"2x%5E2%2B15x=350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B15x-350=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B15x-350=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can easily solve this equation by factoring or by using the quadratic formula.<BR>\n" );
document.write( "I prefer factoring.<BR>\n" );
document.write( "Looking for factors of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28-350%29=-700 ALIGN=MIDDLE  ALT=\"2%2A%28-350%29=-700\"   DISABLED_style= \"max-width:90%; height:auto;\" > that add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15 ALIGN=MIDDLE  ALT=\"15\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "I find that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%2A%28-20%29=-700 ALIGN=MIDDLE  ALT=\"35%2A%28-20%29=-700\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%2B%28-20%29=15 ALIGN=MIDDLE  ALT=\"35%2B%28-20%29=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B15x-350=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B15x-350=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-20x%2B35x-350=0 ALIGN=MIDDLE  ALT=\"2x%5E2-20x%2B35x-350=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x-10%29%2B35%28x-10%29=0 ALIGN=MIDDLE  ALT=\"2x%28x-10%29%2B35%28x-10%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B35%29%28x-10%29=0 ALIGN=MIDDLE  ALT=\"%282x%2B35%29%28x-10%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=10%2C%22or%22%2Cx=-35%2F2%29 ALIGN=MIDDLE  ALT=\"system%28x=10%2C%22or%22%2Cx=-35%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a measure of the width of the garden, in feet, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10 ALIGN=MIDDLE  ALT=\"x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the only acceptable solution.<BR>\n" );
document.write( "So the width is 10 feet,<BR>\n" );
document.write( "and since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A10%2B15=35 ALIGN=MIDDLE  ALT=\"2%2A10%2B15=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the length is 35 feet.<BR>\n" );
document.write( "The best way to split the garden in 3 sections is with fencing sections parallel to the short sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28350%2C150%2C-1%2C37.5%2C-3%2C12%2C%0D%0Arectangle%280%2C0%2C35%2C10%29%2Clocate%280.5%2C5.5%2C10%29%2C%0D%0Alocate%2816%2C-0.2%2C35%29%2Carrow%2815.8%2C-1%2C0%2C-1%29%2Carrow%2818.2%2C-1%2C35%2C-1%29%2C%0D%0Arectangle%2835%2F3%2C0%2C70%2F3%2C10%29%2Clocate%2811.7%2C5.5%2C10%29%2C%0D%0Alocate%2823.6%2C5.5%2C10%29%2Clocate%2835.1%2C5.5%2C10%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "From the drawing, I see that the gardener needs to set up fencing along the two 35-foot length and along the 4 10-foot sections.<BR>\n" );
document.write( "The gardener needs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A10ft%2B2%2A35ft=40ft%2B70ft=highlight%28110ft%29 ALIGN=MIDDLE  ALT=\"4%2A10ft%2B2%2A35ft=40ft%2B70ft=highlight%28110ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > of fencing. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );