document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104247>Question 104247</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534492770/algebrahomeworkh>precalculus fith edition mathematics for calculus</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A wire 360 in long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire to the nearest tenth of an inch? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75875 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=75875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For both figures, you have to find out the relationship between its perimeter (the length of wire) and the area. <BR>\n" );
document.write( "For a square of side L. The perimeter is 4L. The area is L*L. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=4L ALIGN=MIDDLE  ALT=\"P=4L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=P%2F4 ALIGN=MIDDLE  ALT=\"L=P%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=L%2AL ALIGN=MIDDLE  ALT=\"A=L%2AL\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%5E2%2F16 ALIGN=MIDDLE  ALT=\"A=P%5E2%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For a circle of radius, R, the perimeter is 2*pi*R and the area is pi*R*R.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2%28pi%29R ALIGN=MIDDLE  ALT=\"P=2%28pi%29R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=P%2F%282%28pi%29%29 ALIGN=MIDDLE  ALT=\"R=P%2F%282%28pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28pi%29R%5E2 ALIGN=MIDDLE  ALT=\"A=%28pi%29R%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=%28pi%29%28P%2F%282%28pi%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"A=%28pi%29%28P%2F%282%28pi%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%5E2%2F%284%28pi%29%29 ALIGN=MIDDLE  ALT=\"A=P%5E2%2F%284%28pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The perimeter of the square is the length of wire used in the square. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D ALIGN=MIDDLE  ALT=\"P%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The perimeter of the circle is the length of wire used in the circle. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D ALIGN=MIDDLE  ALT=\"P%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The areas of the square and circle equal each other. <BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D%5E2%2F16=P%5B2%5D%5E2%2F%284%28pi%29%29 ALIGN=MIDDLE  ALT=\"P%5B1%5D%5E2%2F16=P%5B2%5D%5E2%2F%284%28pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the length of the two cut wires equals 360 inches.<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D%2BP%5B2%5D=360 ALIGN=MIDDLE  ALT=\"P%5B1%5D%2BP%5B2%5D=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From equation 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D%5E2%2F16=P%5B2%5D%5E2%2F%284%28pi%29%29 ALIGN=MIDDLE  ALT=\"P%5B1%5D%5E2%2F16=P%5B2%5D%5E2%2F%284%28pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D%5E2=16%2AP%5B2%5D%5E2%2F%284%28pi%29%29 ALIGN=MIDDLE  ALT=\"P%5B1%5D%5E2=16%2AP%5B2%5D%5E2%2F%284%28pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D=2%2AP%5B2%5D%2Fsqrt%28%28pi%29%29 ALIGN=MIDDLE  ALT=\"P%5B1%5D=2%2AP%5B2%5D%2Fsqrt%28%28pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute into equation 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D%2BP%5B2%5D=360 ALIGN=MIDDLE  ALT=\"P%5B1%5D%2BP%5B2%5D=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2AP%5B2%5D%2Fsqrt%28%28pi%29%29%2BP%5B2%5D=360 ALIGN=MIDDLE  ALT=\"2%2AP%5B2%5D%2Fsqrt%28%28pi%29%29%2BP%5B2%5D=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D%281%2B2%2Fsqrt%28%28pi%29%29%29=360 ALIGN=MIDDLE  ALT=\"P%5B2%5D%281%2B2%2Fsqrt%28%28pi%29%29%29=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D=360%2F%281%2B2%2Fsqrt%28%28pi%29%29%29 ALIGN=MIDDLE  ALT=\"P%5B2%5D=360%2F%281%2B2%2Fsqrt%28%28pi%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D ALIGN=MIDDLE  ALT=\"P%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=169.1 inches<BR>\n" );
document.write( "From equation 2, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D%2BP%5B2%5D=360 ALIGN=MIDDLE  ALT=\"P%5B1%5D%2BP%5B2%5D=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D=360-P%5B2%5D ALIGN=MIDDLE  ALT=\"P%5B1%5D=360-P%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D ALIGN=MIDDLE  ALT=\"P%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=190.9 inches<BR>\n" );
document.write( "Check your answer<BR>\n" );
document.write( "The area of the square is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%5E2%2F16 ALIGN=MIDDLE  ALT=\"A=P%5E2%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2278 ALIGN=MIDDLE  ALT=\"A=2278\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The area of the square is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%5E2%2F%284%28pi%29%29 ALIGN=MIDDLE  ALT=\"A=P%5E2%2F%284%28pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%5E2%2F%284%28pi%29%29 ALIGN=MIDDLE  ALT=\"A=P%5E2%2F%284%28pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2276 ALIGN=MIDDLE  ALT=\"A=2276\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The answers are off a little from roundoff error but good enough. Good answer. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );