document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184037>Question 184037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)Perimeter.<BR>\n" );
document.write( "Write a formula for the perimeter of a square as a function of its area\r<BR>\n" );
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document.write( "                             and\r<BR>\n" );
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document.write( "2) \r<BR>\n" );
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document.write( "Area of a sign.<BR>\n" );
document.write( "A sign is in the shape of a square with a semicircle of radius x adjoining one side and a semicircle of diameter x removed from the opposite side.  If the sides of the square are length 2x, then write the area of the sign as a function of x.<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 #138263 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=138263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write a formula for the perimeter of a square as a function of its area:<BR>\n" );
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document.write( "we know the area of a square = side squared<BR>\n" );
document.write( "Therefore, one side = square root of the area (a)<BR>\n" );
document.write( "Perimeter (P) is the sum of all 4 sides:<BR>\n" );
document.write( "so we have:<BR>\n" );
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document.write( "P(a) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%28a%29 ALIGN=MIDDLE  ALT=\"4%2Asqrt%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and<BR>\n" );
document.write( "2)<BR>\n" );
document.write( "Area of a sign.<BR>\n" );
document.write( "A sign is in the shape of a square with a semicircle of radius x adjoining one side and a semicircle of diameter x removed from the opposite side. If the sides of the square are length 2x, then write the area of the sign as a function of x.<BR>\n" );
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document.write( "Write an expression for the area of each part:<BR>\n" );
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document.write( "Attached semi circle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2Ax%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"%28pi%2Ax%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; (radius=x)<BR>\n" );
document.write( ";<BR>\n" );
document.write( "the square: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E2 ALIGN=MIDDLE  ALT=\"%282x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; (side=2x)<BR>\n" );
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document.write( "removed semi circle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2A%28.5x%29%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"%28pi%2A%28.5x%29%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; (radius=.5x)<BR>\n" );
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document.write( "f(x) = area of the sign<BR>\n" );
document.write( "Total area = large semi circle + square - small semicircle<BR>\n" );
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document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2Ax%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"%28pi%2Ax%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E2 ALIGN=MIDDLE  ALT=\"%282x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2A%28.5x%29%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"%28pi%2A%28.5x%29%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2Ax%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"%28pi%2Ax%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E2%29 ALIGN=MIDDLE  ALT=\"%284x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2A%28.25x%5E2%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28pi%2A%28.25x%5E2%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "get each expression over 2<BR>\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2Ax%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"%28pi%2Ax%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E2%29%2F2%29 ALIGN=MIDDLE  ALT=\"%288x%5E2%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2A%28.25x%5E2%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28pi%2A%28.25x%5E2%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so we have<BR>\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2Ax%5E2+%2B+8x%5E2+-+pi%2A.25x%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"%28pi%2Ax%5E2+%2B+8x%5E2+-+pi%2A.25x%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor out x^2<BR>\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%28pi+%2B+8+-+.25pi%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28x%5E2%28pi+%2B+8+-+.25pi%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine the pi's<BR>\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%28.75pi+%2B+8%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28x%5E2%28.75pi+%2B+8%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );