document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=901357>Question 901357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dimensions that will produce a rectangular area of 100 Pi from a 300 meter track with semicircles on each end. Find x and y exact and approximate values </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #546693 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=546693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The circumference of a circle plus two equal sides of a rectangle sum to 300 meters.\r<BR>\n" );
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document.write( "x = the diameter of each semicircle, and a capped side of the rectangle.<BR>\n" );
document.write( "y = the uncapped side of the rectangle.\r<BR>\n" );
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document.write( "The radius of the equivalent circle is x/2; so the contribution to perimeter of each semicircle occurs TWICE, meaning the perimeter contribution is from a whole circle.  This distance is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2A%28x%2F2%29=x%2Api ALIGN=MIDDLE  ALT=\"2%2Api%2A%28x%2F2%29=x%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The track perimeter includes the \"circumference just discussed PLUS the uncapped rectangle lengths of y...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282y%2Bx%2Api=300%29 ALIGN=MIDDLE  ALT=\"highlight_green%282y%2Bx%2Api=300%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "ALSO given, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28xy=100pi%29 ALIGN=MIDDLE  ALT=\"highlight_green%28xy=100pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( "Two equations and two unknowns in x and y. </SPAN>\n" );
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