document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013807>Question 1013807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 21 feet, express the area A of the window as a function of the width x (across the base) of the window. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630164 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the perimeter of just<BR>\n" );
document.write( "the semi-circular top of the window<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5B1%5D+=+%281%2F2%29%2A2%2Api%2A%28x%2F2%29+ ALIGN=MIDDLE  ALT=\"+P%5B1%5D+=+%281%2F2%29%2A2%2Api%2A%28x%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( half of the perimeter of the circle )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5B1%5D+=+pi%2A%28x%2F2%29+ ALIGN=MIDDLE  ALT=\"+P%5B1%5D+=+pi%2A%28x%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Now subtract this result from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21+ ALIGN=MIDDLE  ALT=\"+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21+-+pi%2A%28x%2F2%29+ ALIGN=MIDDLE  ALT=\"+21+-+pi%2A%28x%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This result is twice the length of the rectangle<BR>\n" );
document.write( "plus the width.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the length of the rectangle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21+-+pi%2A%28x%2F2%29+=+2y+%2B+x+ ALIGN=MIDDLE  ALT=\"+21+-+pi%2A%28x%2F2%29+=+2y+%2B+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+21+-+pi%2A%28x%2F2%29+-+x+ ALIGN=MIDDLE  ALT=\"+2y+=+21+-+pi%2A%28x%2F2%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=+y+=+21%2F2+-+pi%2A%28+x%2F4+%29+-+x%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+21%2F2+-+pi%2A%28+x%2F4+%29+-+x%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+21%2F2+-+pi%2A%28+x%2F4+%29+-+%282x%29%2F4+ ALIGN=MIDDLE  ALT=\"+y+=+21%2F2+-+pi%2A%28+x%2F4+%29+-+%282x%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+21%2F2+-+%28+pi+%2B+2+%29%2Ax%2F4+ ALIGN=MIDDLE  ALT=\"+y+=+21%2F2+-+%28+pi+%2B+2+%29%2Ax%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "The area of the rectangular part is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B1%5D+=+x%2Ay+ ALIGN=MIDDLE  ALT=\"+A%5B1%5D+=+x%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B1%5D+=+%28+21x+%29%2F2+-+%28%28+pi+%2B+2+%29%2F4+%29%2Ax%5E2+ ALIGN=MIDDLE  ALT=\"+A%5B1%5D+=+%28+21x+%29%2F2+-+%28%28+pi+%2B+2+%29%2F4+%29%2Ax%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The area of the semi-circle is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B2%5D+=+%281%2F2%29%2Api%2A%28+x%2F2+%29%5E2+ ALIGN=MIDDLE  ALT=\"+A%5B2%5D+=+%281%2F2%29%2Api%2A%28+x%2F2+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B1%5D+%2B+A%5B2%5D+=++%28+21x+%29%2F2+-+%28%28+pi+%2B+2+%29%2F4+%29%2Ax%5E2++%2B+%281%2F2%29%2Api%2A%28+x%2F2+%29%5E2+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B1%5D+%2B+A%5B2%5D+=++%28+21x+%29%2F2+-+%28%28+pi+%2B+2+%29%2F4+%29%2Ax%5E2++%2B%28+pi%2Ax%5E2+%29+%2F+8+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B1%5D+%2B+A%5B2%5D+=++%28+21x+%29%2F2+-+%28%28+2%2Api+%2B+4+%29%2F8+%29%2Ax%5E2++%2B%28+pi%2Ax%5E2+%29+%2F+8+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B1%5D+%2B+A%5B2%5D+=+%28+21x+%29%2F2+-+%281%2F8%29%2A%28+pi+%2B+4+%29%2Ax%5E2+ ALIGN=MIDDLE  ALT=\"+A%5B1%5D+%2B+A%5B2%5D+=+%28+21x+%29%2F2+-+%281%2F8%29%2A%28+pi+%2B+4+%29%2Ax%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hope I got it! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );