document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269738>Question 269738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circular garden is surrounded by a sidewalk with a uniform width of 14 feet. The total area of the sidewalk equals the total area of the garden. How many feet are in the diameter of the garden? Round your answer to the nearest whole number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197653 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=197653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A circular garden is surrounded by a sidewalk with a uniform width of 14 feet. The total area of the sidewalk equals the total area of the garden. How many feet are in the diameter of the garden? Round your answer to the nearest whole number.<BR>\n" );
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document.write( "Let r = radius of the garden<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(r+14) = radius of the garden and walkway<BR>\n" );
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document.write( "From the given information we know the overall area = twice the garde area<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%28r%2B14%29%5E2 ALIGN=MIDDLE  ALT=\"pi%2A%28r%2B14%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "divide both sides by pi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2B14%29%5E2 ALIGN=MIDDLE  ALT=\"%28r%2B14%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r%5E2 ALIGN=MIDDLE  ALT=\"2r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%5E2%2B28r%2B196%29 ALIGN=MIDDLE  ALT=\"%28r%5E2%2B28r%2B196%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r%5E2 ALIGN=MIDDLE  ALT=\"2r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%5E2-2r%5E2%2B28r%2B196%29 ALIGN=MIDDLE  ALT=\"%28r%5E2-2r%5E2%2B28r%2B196%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-r%5E2%2B28r%2B196%29 ALIGN=MIDDLE  ALT=\"%28-r%5E2%2B28r%2B196%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%5E2-28r-196%29 ALIGN=MIDDLE  ALT=\"%28r%5E2-28r-196%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0; multiplied by -1<BR>\n" );
document.write( "Use the quadratic formula to find r: a=1; b=-28; c=-196<BR>\n" );
document.write( "Positive solution: r = 33.8<BR>\n" );
document.write( "then<BR>\n" );
document.write( "33.8 * 2 = 67.6 ~ 68 ft is the diameter of the garden<BR>\n" );
document.write( " </SPAN>\n" );
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