document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=640415>Question 640415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good day! kindly help me with this word problem. Thanks!\r<BR>\n" );
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document.write( "A park department gardener wants to plant a border of flowers along the edges of an 8 feet by 6 feet rectangular bed.  How wide should he make the border if he wants the remaining unplanted area to be one-half the area of the entire flower bed?\r<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 #403188 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=403188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A park department gardener wants to plant a border of flowers along the edges<BR>\n" );
document.write( " of an 8 feet by 6 feet rectangular bed<BR>\n" );
document.write( "How wide should he make the border if he wants the remaining unplanted area<BR>\n" );
document.write( " to be one-half the area of the entire flower bed?<BR>\n" );
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document.write( "Find the area of the flower bed; 8 * 6 = 48 sq ft<BR>\n" );
document.write( "Then half that area = 24 sq/ft<BR>\n" );
document.write( "Then the total area: 24 + 48 = 72 sq/ft<BR>\n" );
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document.write( "Let w = width of the border<BR>\n" );
document.write( "The overall dimensions including the border:<BR>\n" );
document.write( "(2w+8) by (2w+6)<BR>\n" );
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document.write( "Overall area<BR>\n" );
document.write( "(2w+8)*(2w+6) = 72<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "4w^2 + 12w + 16w + 48 = 72<BR>\n" );
document.write( "4w^2 + 28w + 48 - 72 = 0<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "4w^2 + 28w - 24 = 0<BR>\n" );
document.write( "Simplify, divide by 4<BR>\n" );
document.write( "w^2 + 7w - 6 = 0<BR>\n" );
document.write( "Use the quadratic formula to find w, a=1; b=7; c= -6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%28-7+%2B-+sqrt%287%5E2-4%2A1%2A-6+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"w+=+%28-7+%2B-+sqrt%287%5E2-4%2A1%2A-6+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "do the math here, should get a positive solution of<BR>\n" );
document.write( "w = .772 ft is the width of the border<BR>\n" );
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