document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201846>Question 1201846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circular piece of sheet metal has a diameter of 20 in. The edges are to be cut off to form a rectangle of area 150 in2 (see the figure). What are the dimensions of the rectangle? (Round your answers to two decimal places.)<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 #836384 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836384\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let the dimensions of the rectangle be x and y.  The diagonal of the rectangle is a diameter of the circle, so<br><BR>\n" );
document.write( "[1] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=150 ALIGN=MIDDLE  ALT=\"xy=150\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [the area of the rectangle is 150 sq in]<BR>\n" );
document.write( "[2] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%2By%5E2%29=20 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2By%5E2%29=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [the diameter of the circle is 20 in]<br><BR>\n" );
document.write( "A general problem-solving hint...<br><BR>\n" );
document.write( "Whenever you see <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy ALIGN=MIDDLE  ALT=\"xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in a problem, look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E2=x%5E2%2B2xy%2By%5E2 ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E2=x%5E2%2B2xy%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "In this problem....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E2=x%5E2%2B2xy%2By%5E2=%28x%5E2%2By%5E2%29%2B2%28xy%29=400%2B2%28150%29=700 ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E2=x%5E2%2B2xy%2By%5E2=%28x%5E2%2By%5E2%29%2B2%28xy%29=400%2B2%28150%29=700\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=sqrt%28700%29=10%2Asqrt%287%29 ALIGN=MIDDLE  ALT=\"x%2By=sqrt%28700%29=10%2Asqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve that equation for y and substitute in [1]:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10%2Asqrt%287%29-x ALIGN=MIDDLE  ALT=\"y=10%2Asqrt%287%29-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2810%2Asqrt%287%29-x%29=150 ALIGN=MIDDLE  ALT=\"x%2810%2Asqrt%287%29-x%29=150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%2810%2Asqrt%287%29%29x%2B150=0 ALIGN=MIDDLE  ALT=\"x%5E2-%2810%2Asqrt%287%29%29x%2B150=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That won't factor by usual factoring methods; but the quadratic formula works nicely.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2810%2Asqrt%287%29%2B-sqrt%28700-600%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%2810%2Asqrt%287%29%2B-sqrt%28700-600%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2Asqrt%287%29%2B5 ALIGN=MIDDLE  ALT=\"x=5%2Asqrt%287%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2Asqrt%287%29-5 ALIGN=MIDDLE  ALT=\"x=5%2Asqrt%287%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The dimensions of the rectangle are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%287%29%2B5 ALIGN=MIDDLE  ALT=\"5%2Asqrt%287%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%287%29-5 ALIGN=MIDDLE  ALT=\"5%2Asqrt%287%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(You can evaluate those expressions and do the prescribed rounding....)<br><BR>\n" );
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