document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=740620>Question 740620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There's two squares. Ones bigger than the other. The area of the bigger square is twice the area of the smaller. The total perimeter of the squares together is 16 inches. What's the side lengths of the larger square? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451649 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=451649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the side of the bigger square<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the side of the smaller square<BR>\n" );
document.write( "The area of the bigger square is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+ ALIGN=MIDDLE  ALT=\"+s%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The area of the smaller square is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+ ALIGN=MIDDLE  ALT=\"+t%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+=+2t%5E2+ ALIGN=MIDDLE  ALT=\"+s%5E2+=+2t%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4s+%2B+4t+=+16+ ALIGN=MIDDLE  ALT=\"+4s+%2B+4t+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+t+=+4+ ALIGN=MIDDLE  ALT=\"+s+%2B+t+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+4+-+s+ ALIGN=MIDDLE  ALT=\"+t+=+4+-+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+=+2%2A%28+4-s+%29%5E2+ ALIGN=MIDDLE  ALT=\"+s%5E2+=+2%2A%28+4-s+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+=+2%2A%28+16+-+8s+%2B+s%5E2+%29+ ALIGN=MIDDLE  ALT=\"+s%5E2+=+2%2A%28+16+-+8s+%2B+s%5E2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+=+32+-+16s+%2B+2s%5E2+ ALIGN=MIDDLE  ALT=\"+s%5E2+=+32+-+16s+%2B+2s%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+-+16s+%2B+32+=+0+ ALIGN=MIDDLE  ALT=\"+s%5E2+-+16s+%2B+32+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+s+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%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+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-16+ ALIGN=MIDDLE  ALT=\"+b+=+-16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+32+ ALIGN=MIDDLE  ALT=\"+c+=+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28-%28-16%29+%2B-+sqrt%28+%28-16%29%5E2+-+4%2A1%2A32+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+s+=+%28-%28-16%29+%2B-+sqrt%28+%28-16%29%5E2+-+4%2A1%2A32+%29%29+%2F+%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+16+%2B-+sqrt%28+256++-+128+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+s+=+%28+16+%2B-+sqrt%28+256++-+128+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+16+%2B-+sqrt%28+128+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+s+=+%28+16+%2B-+sqrt%28+128+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+16+%2B-+sqrt%28+2%2A64+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+s+=+%28+16+%2B-+sqrt%28+2%2A64+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+16+%2B-+8%2Asqrt%28+2+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+s+=+%28+16+%2B-+8%2Asqrt%28+2+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+8+%2B+4%2A1.414+%29+ ALIGN=MIDDLE  ALT=\"+s+=+%28+8+%2B+4%2A1.414+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+8+%2B+5.656+ ALIGN=MIDDLE  ALT=\"+s+=+8+%2B+5.656+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+13.656+ ALIGN=MIDDLE  ALT=\"+s+=+13.656+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( this result must be discarded, since it's greater than 4 )<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+8+-+5.656+%29+ ALIGN=MIDDLE  ALT=\"+s+=+%28+8+-+5.656+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+2.344+ ALIGN=MIDDLE  ALT=\"+s+=+2.344+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "and,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+4+-+s+ ALIGN=MIDDLE  ALT=\"+t+=+4+-+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+4+-+2.344+ ALIGN=MIDDLE  ALT=\"+t+=+4+-+2.344+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1.656+ ALIGN=MIDDLE  ALT=\"+t+=+1.656+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "The side of the larger square is 2.344 inches<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+=+2t%5E2+ ALIGN=MIDDLE  ALT=\"+s%5E2+=+2t%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2.344%5E2+=+2%2A1.656%5E2+ ALIGN=MIDDLE  ALT=\"+2.344%5E2+=+2%2A1.656%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5.494+=+2%2A2.742+ ALIGN=MIDDLE  ALT=\"+5.494+=+2%2A2.742+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5.494+=+5.485+ ALIGN=MIDDLE  ALT=\"+5.494+=+5.485+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is off a little too much- If you redo the <BR>\n" );
document.write( "math to another decimal place, I think it will<BR>\n" );
document.write( "come out right\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );