document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473001>Question 473001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two circular flower beds have a combined area of 29/2pie metre. the sum of the circumferences of the two flower beds is 10pie metre. determine the radius of each flower bed.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324427 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=324427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two circular flower beds have a combined area of 29/2pie metre. the sum of the circumferences of the two flower beds is 10pie metre. determine the radius of each flower bed. <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let a = radius of the 1st circular flower bed<BR>\n" );
document.write( "Let b = radius of the 2nd one<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Combined areas<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Aa%5E2 ALIGN=MIDDLE  ALT=\"pi%2Aa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ab%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ab%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29%2F2 ALIGN=MIDDLE  ALT=\"29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "divide thru by pi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2 ALIGN=MIDDLE  ALT=\"b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29%2F2 ALIGN=MIDDLE  ALT=\"29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we can also write it:<BR>\n" );
document.write( "a^2 + b^2 = 14.5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Combined Circumferences<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Aa ALIGN=MIDDLE  ALT=\"2%2Api%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ab ALIGN=MIDDLE  ALT=\"2%2Api%2Ab\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Api ALIGN=MIDDLE  ALT=\"10%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide thru by 2pi<BR>\n" );
document.write( "a + b = 5<BR>\n" );
document.write( "b = (5-a)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "In the 1st equation replace b with (5-a)<BR>\n" );
document.write( "a^2 + (5-a)^2 = 14.5<BR>\n" );
document.write( "a^2 + 25 - 10a + a^2 = 14.5<BR>\n" );
document.write( "2a^2 - 10a + 25 - 14.5 = 0<BR>\n" );
document.write( "2a^2 - 10a + 10.5 = 0<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "a^2 - 5a + 5.25 = 0<BR>\n" );
document.write( "This factors to:<BR>\n" );
document.write( "(a-1.5)(a-3.5) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "a = 1.5, then b = 3.5<BR>\n" );
document.write( "a = 3.5, then b = 1.5 </SPAN>\n" );
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