document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=911088>Question 911088</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 64 meters and its area is 253m^2. Find the dimensions of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552843 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=552843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Unknown dimensions, x and y;<BR>\n" );
document.write( "Given p perimeter and A area.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28A=xy%2Cp=2x%2B2y%29 ALIGN=MIDDLE  ALT=\"system%28A=xy%2Cp=2x%2B2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=p-2x ALIGN=MIDDLE  ALT=\"2y=p-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28p-2x%29%2F2 ALIGN=MIDDLE  ALT=\"y=%28p-2x%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this into A equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=A ALIGN=MIDDLE  ALT=\"xy=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28p-2x%29%2F2=A ALIGN=MIDDLE  ALT=\"x%28p-2x%29%2F2=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=px-2x%5E2=2A ALIGN=MIDDLE  ALT=\"px-2x%5E2=2A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=px-2x%5E2-2A=0 ALIGN=MIDDLE  ALT=\"px-2x%5E2-2A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2%2Bpx-2A=0 ALIGN=MIDDLE  ALT=\"-2x%5E2%2Bpx-2A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-px%2B2A=0 ALIGN=MIDDLE  ALT=\"2x%5E2-px%2B2A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28p%2B-sqrt%28p%5E2-4%2A2%2A2A%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"x=%28p%2B-sqrt%28p%5E2-4%2A2%2A2A%29%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "guessing that the PLUS square root form will be wanted,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%28p%2Bsqrt%28p%5E2-16A%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28p%2Bsqrt%28p%5E2-16A%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The easiest way to continue is to substitute for the given values for p and A and evaluate x.<BR>\n" );
document.write( "Find y using what you found for the value of x, any equation found to be convenient;<BR>\n" );
document.write( "maybe directly in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=A%2Fx ALIGN=MIDDLE  ALT=\"y=A%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "p=64, and A=253.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2864%2Bsqrt%2864%5E2-16%2A253%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%2864%2Bsqrt%2864%5E2-16%2A253%29%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=x=%2864%2Bsqrt%2848%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%2864%2Bsqrt%2848%29%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=x=%2864%2B4%2Asqrt%283%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%2864%2B4%2Asqrt%283%29%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=highlight%28x=16%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=16%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---one of the dimensions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=253%2Fx ALIGN=MIDDLE  ALT=\"y=253%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=253%2F%2816%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y=253%2F%2816%2Bsqrt%283%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=y=%28253%2F%2816%2Bsqrt%283%29%29%29%2816-sqrt%283%29%29%2F%2816-sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y=%28253%2F%2816%2Bsqrt%283%29%29%29%2816-sqrt%283%29%29%2F%2816-sqrt%283%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=y=%28253%2816-sqrt%283%29%29%29%2F%2816%5E2-3%29 ALIGN=MIDDLE  ALT=\"y=%28253%2816-sqrt%283%29%29%29%2F%2816%5E2-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28253%2816-sqrt%283%29%29%29%2F253 ALIGN=MIDDLE  ALT=\"y=%28253%2816-sqrt%283%29%29%29%2F253\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=16-sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=16-sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----other dimension<BR>\n" );
document.write( " </SPAN>\n" );
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