document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=348189>Question 348189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Wendy, a landscaper, who just completed a rectangular flower garden measuring 25 feet by 15 feet, orders 3 cubic yards of pre-mixed cement, all of which is to be used to create a border of uniform width around the garden. If the border is to have a depth of 3 inches, how wide will the border be?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249266 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=249266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  a rectangular flower garden measuring 25 feet by 15 feet,<BR>\n" );
document.write( " orders 3 cubic yards of pre-mixed cement, all of which is to be used to<BR>\n" );
document.write( " create a border of uniform width around the garden.<BR>\n" );
document.write( " If the border is to have a depth of 3 inches, how wide will the border be?<BR>\n" );
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document.write( "Find the area of the garden<BR>\n" );
document.write( "25 * 15 = 375 sq/ft<BR>\n" );
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document.write( "Find the area of the border by dividing 3 cu/yds by 3 inches <BR>\n" );
document.write( "Change 3 cu/yds to cu/ft:  3 * 27 = 81 cu/ft<BR>\n" );
document.write( "Change 3 inches to .25 ft<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2F.25 ALIGN=MIDDLE  ALT=\"81%2F.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 324 sq/ft is the area of the border<BR>\n" );
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document.write( "The total area of the garden and the border<BR>\n" );
document.write( "375 + 324 = 699 sq/ft<BR>\n" );
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document.write( "Let x = the width of the border<BR>\n" );
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document.write( "The equation for the total area<BR>\n" );
document.write( "(2x+25)*(2x+15) = 699<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "4x^2 + 30x + 50x + 375 = 699<BR>\n" );
document.write( "4x^2 + 80x + 375 - 699 = 0<BR>\n" );
document.write( "4x^2 + 80x - 324 = 0<BR>\n" );
document.write( "Use the quadratic formula to find x<BR>\n" );
document.write( "<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;\" > <BR>\n" );
document.write( "In this equation; a=4; b=80; c=-324<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-80+%2B-+sqrt%2880%5E2-4%2A4%2A-324+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-80+%2B-+sqrt%2880%5E2-4%2A4%2A-324+%29%29%2F%282%2A4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-80+%2B-+sqrt%286400+-%28-5184%29+%29%29%2F8+ ALIGN=MIDDLE  ALT=\"x+=+%28-80+%2B-+sqrt%286400+-%28-5184%29+%29%29%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-80+%2B-+sqrt%286400+%2B+5184+%29%29%2F8+ ALIGN=MIDDLE  ALT=\"x+=+%28-80+%2B-+sqrt%286400+%2B+5184+%29%29%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-80+%2B-+sqrt%2811584%29%29%2F8+ ALIGN=MIDDLE  ALT=\"x+=+%28-80+%2B-+sqrt%2811584%29%29%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The positive solution only wanted here<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-80+%2B+107.629%29%2F8+ ALIGN=MIDDLE  ALT=\"x+=+%28-80+%2B+107.629%29%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27.629%2F8 ALIGN=MIDDLE  ALT=\"27.629%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 3.45 ft is the width of the border  <BR>\n" );
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document.write( "Check solution, 2x = 6.9<BR>\n" );
document.write( "(6.9+25)*(6.9+15) = 699 sq/ft, total area<BR>\n" );
document.write( "Subtract the area of the garden: 699 - 375 = 324, the area of the border<BR>\n" );
document.write( "Find the volume of the border (mult by 3\" which is .25 ft: 324*.25 = 81 cu/ft<BR>\n" );
document.write( "Find 81 cu/ft in cu/yds: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2F27 ALIGN=MIDDLE  ALT=\"81%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 cu/yds </SPAN>\n" );
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