document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273089>Question 273089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangle is 12sq. units and the diagonal of the rectangle has a length of 2 then the square root and underneath that is a 10. Find the perimeter 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 #199739 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=199739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangle is 12sq. units and the diagonal of the rectangle has a length of 2 then the square root and underneath that is a 10.<BR>\n" );
document.write( " Find the perimeter of the rectangle?<BR>\n" );
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document.write( "Area = 12 sq/units; Diagonal = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%2810%29 ALIGN=MIDDLE  ALT=\"2sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find legs of the right triangle; a^2 + b^2 = c^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28L%5E2+%2B+W%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28L%5E2+%2B+W%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%2810%29 ALIGN=MIDDLE  ALT=\"2sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28L%5E2+%2B+W%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28L%5E2+%2B+W%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2A10%29 ALIGN=MIDDLE  ALT=\"sqrt%284%2A10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28L%5E2+%2B+W%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28L%5E2+%2B+W%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2840%29 ALIGN=MIDDLE  ALT=\"sqrt%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " square both sides<BR>\n" );
document.write( "L^2 + W^2 = 40<BR>\n" );
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document.write( "The area equation<BR>\n" );
document.write( "L*W = 12<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2FW ALIGN=MIDDLE  ALT=\"12%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" >; for substitution below<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2FW%29%5E2 ALIGN=MIDDLE  ALT=\"%2812%2FW%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + W^2 = 40<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28144%2FW%5E2%29 ALIGN=MIDDLE  ALT=\"%28144%2FW%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + W^2 = 40<BR>\n" );
document.write( "multiply equation by W^2<BR>\n" );
document.write( "144 + W^4 = 40W^2<BR>\n" );
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document.write( "A quadratic equation<BR>\n" );
document.write( "W^4 - 40W^2 + 144 = 0<BR>\n" );
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document.write( "this will factor<BR>\n" );
document.write( "(W^2 - 36)(W^2 - 4) = 0<BR>\n" );
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document.write( "Two solutions<BR>\n" );
document.write( "W^2 = 36<BR>\n" );
document.write( "W = 6, call this one the length<BR>\n" );
document.write( "and<BR>\n" );
document.write( "W^2 = 4<BR>\n" );
document.write( "W = 2,  the width<BR>\n" );
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document.write( "P = 2(6) + 2(2) <BR>\n" );
document.write( "P = 12 + 4<BR>\n" );
document.write( "P = 16 units is the perimeter<BR>\n" );
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document.write( "A = 6*2 = 12 confirm using the area </SPAN>\n" );
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